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Finding the Fourth Proportional to 284,182.20, 392,169.27 and 156,857.76

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Solution

The fourth proportional to 284,182.20, 392,169.27 and 156,857.76 is: 216,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,182.20 : 392,169.27 = 156,857.76 : x
  2. Step 2: Convert to fraction form
    284,182.20/392,169.27 = 156,857.76/x
  3. Step 3: Cross multiply
    284,182.20x = 392,169.27 × 156,857.76
  4. Step 4: Simplify right side
    284,182.20x = 61,514,793,233.04
  5. Step 5: Solve for x
    x = 61,514,793,233.04/284,182.20
  6. Step 6: Final answer
    x = 216,462.51

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