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Finding the Fourth Proportional to 176,645.80, 264,968.46 and 71,465.56

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Solution

The fourth proportional to 176,645.80, 264,968.46 and 71,465.56 is: 107,198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,645.80 : 264,968.46 = 71,465.56 : x
  2. Step 2: Convert to fraction form
    176,645.80/264,968.46 = 71,465.56/x
  3. Step 3: Cross multiply
    176,645.80x = 264,968.46 × 71,465.56
  4. Step 4: Simplify right side
    176,645.80x = 18,936,119,376.24
  5. Step 5: Solve for x
    x = 18,936,119,376.24/176,645.80
  6. Step 6: Final answer
    x = 107,198.24

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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.