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Finding the Fourth Proportional to 284,186.82, 392,177.85 and 156,862.44

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Solution

The fourth proportional to 284,186.82, 392,177.85 and 156,862.44 is: 216,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,186.82 : 392,177.85 = 156,862.44 : x
  2. Step 2: Convert to fraction form
    284,186.82/392,177.85 = 156,862.44/x
  3. Step 3: Cross multiply
    284,186.82x = 392,177.85 × 156,862.44
  4. Step 4: Simplify right side
    284,186.82x = 61,517,974,464.95
  5. Step 5: Solve for x
    x = 61,517,974,464.95/284,186.82
  6. Step 6: Final answer
    x = 216,470.19

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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.