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Finding the Fourth Proportional to 284,171.94, 392,129.34 and 156,839.33

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Solution

The fourth proportional to 284,171.94, 392,129.34 and 156,839.33 is: 216,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,171.94 : 392,129.34 = 156,839.33 : x
  2. Step 2: Convert to fraction form
    284,171.94/392,129.34 = 156,839.33/x
  3. Step 3: Cross multiply
    284,171.94x = 392,129.34 × 156,839.33
  4. Step 4: Simplify right side
    284,171.94x = 61,501,300,998.30
  5. Step 5: Solve for x
    x = 61,501,300,998.30/284,171.94
  6. Step 6: Final answer
    x = 216,422.85

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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.