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Finding the Fourth Proportional to 96,470.78, 144,472.87 and 83,407.10

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Solution

The fourth proportional to 96,470.78, 144,472.87 and 83,407.10 is: 124,908.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,470.78 : 144,472.87 = 83,407.10 : x
  2. Step 2: Convert to fraction form
    96,470.78/144,472.87 = 83,407.10/x
  3. Step 3: Cross multiply
    96,470.78x = 144,472.87 × 83,407.10
  4. Step 4: Simplify right side
    96,470.78x = 12,050,063,115.38
  5. Step 5: Solve for x
    x = 12,050,063,115.38/96,470.78
  6. Step 6: Final answer
    x = 124,908.94

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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.