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Finding the Fourth Proportional to 100,257.12, 138,349.56 and 57,234.92

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Solution

The fourth proportional to 100,257.12, 138,349.56 and 57,234.92 is: 78,981.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,257.12 : 138,349.56 = 57,234.92 : x
  2. Step 2: Convert to fraction form
    100,257.12/138,349.56 = 57,234.92/x
  3. Step 3: Cross multiply
    100,257.12x = 138,349.56 × 57,234.92
  4. Step 4: Simplify right side
    100,257.12x = 7,918,425,652.76
  5. Step 5: Solve for x
    x = 7,918,425,652.76/100,257.12
  6. Step 6: Final answer
    x = 78,981.18

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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.