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Finding the Fourth Proportional to 381,420.14, 572,104.82 and 156,722.36

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Solution

The fourth proportional to 381,420.14, 572,104.82 and 156,722.36 is: 235,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,420.14 : 572,104.82 = 156,722.36 : x
  2. Step 2: Convert to fraction form
    381,420.14/572,104.82 = 156,722.36/x
  3. Step 3: Cross multiply
    381,420.14x = 572,104.82 × 156,722.36
  4. Step 4: Simplify right side
    381,420.14x = 89,661,617,557.78
  5. Step 5: Solve for x
    x = 89,661,617,557.78/381,420.14
  6. Step 6: Final answer
    x = 235,073.11

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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.