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Finding the Fourth Proportional to 284,001.71, 425,877.25 and 106,384.10

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Solution

The fourth proportional to 284,001.71, 425,877.25 and 106,384.10 is: 159,529.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,001.71 : 425,877.25 = 106,384.10 : x
  2. Step 2: Convert to fraction form
    284,001.71/425,877.25 = 106,384.10/x
  3. Step 3: Cross multiply
    284,001.71x = 425,877.25 × 106,384.10
  4. Step 4: Simplify right side
    284,001.71x = 45,306,567,951.73
  5. Step 5: Solve for x
    x = 45,306,567,951.73/284,001.71
  6. Step 6: Final answer
    x = 159,529.21

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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.