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Finding the Fourth Proportional to 102,591.71, 154,057.76 and 63,397.94

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Solution

The fourth proportional to 102,591.71, 154,057.76 and 63,397.94 is: 95,202.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,591.71 : 154,057.76 = 63,397.94 : x
  2. Step 2: Convert to fraction form
    102,591.71/154,057.76 = 63,397.94/x
  3. Step 3: Cross multiply
    102,591.71x = 154,057.76 × 63,397.94
  4. Step 4: Simplify right side
    102,591.71x = 9,766,944,013.22
  5. Step 5: Solve for x
    x = 9,766,944,013.22/102,591.71
  6. Step 6: Final answer
    x = 95,202.08

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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.