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Finding the Fourth Proportional to 284,077.54, 392,026.56 and 156,753.04

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Solution

The fourth proportional to 284,077.54, 392,026.56 and 156,753.04 is: 216,318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,077.54 : 392,026.56 = 156,753.04 : x
  2. Step 2: Convert to fraction form
    284,077.54/392,026.56 = 156,753.04/x
  3. Step 3: Cross multiply
    284,077.54x = 392,026.56 × 156,753.04
  4. Step 4: Simplify right side
    284,077.54x = 61,451,355,040.74
  5. Step 5: Solve for x
    x = 61,451,355,040.74/284,077.54
  6. Step 6: Final answer
    x = 216,318.95

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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.