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Finding the Fourth Proportional to 284,073.90, 391,856.70 and 182,063.10

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Solution

The fourth proportional to 284,073.90, 391,856.70 and 182,063.10 is: 251,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,073.90 : 391,856.70 = 182,063.10 : x
  2. Step 2: Convert to fraction form
    284,073.90/391,856.70 = 182,063.10/x
  3. Step 3: Cross multiply
    284,073.90x = 391,856.70 × 182,063.10
  4. Step 4: Simplify right side
    284,073.90x = 71,342,645,557.77
  5. Step 5: Solve for x
    x = 71,342,645,557.77/284,073.90
  6. Step 6: Final answer
    x = 251,141.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.