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Finding the Fourth Proportional to 256,900.38, 385,387.48 and 79,421.24

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Solution

The fourth proportional to 256,900.38, 385,387.48 and 79,421.24 is: 119,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,900.38 : 385,387.48 = 79,421.24 : x
  2. Step 2: Convert to fraction form
    256,900.38/385,387.48 = 79,421.24/x
  3. Step 3: Cross multiply
    256,900.38x = 385,387.48 × 79,421.24
  4. Step 4: Simplify right side
    256,900.38x = 30,607,951,542.08
  5. Step 5: Solve for x
    x = 30,607,951,542.08/256,900.38
  6. Step 6: Final answer
    x = 119,143.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.