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Finding the Fourth Proportional to 176,609.80, 264,914.70 and 157,256.20

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Solution

The fourth proportional to 176,609.80, 264,914.70 and 157,256.20 is: 235,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,609.80 : 264,914.70 = 157,256.20 : x
  2. Step 2: Convert to fraction form
    176,609.80/264,914.70 = 157,256.20/x
  3. Step 3: Cross multiply
    176,609.80x = 264,914.70 × 157,256.20
  4. Step 4: Simplify right side
    176,609.80x = 41,659,479,046.14
  5. Step 5: Solve for x
    x = 41,659,479,046.14/176,609.80
  6. Step 6: Final answer
    x = 235,884.30

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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.