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Finding the Fourth Proportional to 176,074,212.80, 264,158,558.40 and 157,036,815.20

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Solution

The fourth proportional to 176,074,212.80, 264,158,558.40 and 157,036,815.20 is: 235,597,354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,074,212.80 : 264,158,558.40 = 157,036,815.20 : x
  2. Step 2: Convert to fraction form
    176,074,212.80/264,158,558.40 = 157,036,815.20/x
  3. Step 3: Cross multiply
    176,074,212.80x = 264,158,558.40 × 157,036,815.20
  4. Step 4: Simplify right side
    176,074,212.80x = 41,482,618,718,959,208
  5. Step 5: Solve for x
    x = 41,482,618,718,959,208/176,074,212.80
  6. Step 6: Final answer
    x = 235,597,354.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.