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Finding the Fourth Proportional to 284,156.33, 392,134.91 and 156,831

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Solution

The fourth proportional to 284,156.33, 392,134.91 and 156,831 is: 216,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,156.33 : 392,134.91 = 156,831 : x
  2. Step 2: Convert to fraction form
    284,156.33/392,134.91 = 156,831/x
  3. Step 3: Cross multiply
    284,156.33x = 392,134.91 × 156,831
  4. Step 4: Simplify right side
    284,156.33x = 61,498,909,286.06
  5. Step 5: Solve for x
    x = 61,498,909,286.06/284,156.33
  6. Step 6: Final answer
    x = 216,426.33

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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.