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Finding the Fourth Proportional to 381,422.14, 572,107.82 and 156,724.36

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Solution

The fourth proportional to 381,422.14, 572,107.82 and 156,724.36 is: 235,076.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,422.14 : 572,107.82 = 156,724.36 : x
  2. Step 2: Convert to fraction form
    381,422.14/572,107.82 = 156,724.36/x
  3. Step 3: Cross multiply
    381,422.14x = 572,107.82 × 156,724.36
  4. Step 4: Simplify right side
    381,422.14x = 89,663,231,940.50
  5. Step 5: Solve for x
    x = 89,663,231,940.50/381,422.14
  6. Step 6: Final answer
    x = 235,076.11

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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.