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Finding the Fourth Proportional to 100,319.32, 138,436.98 and 54,996.30

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Solution

The fourth proportional to 100,319.32, 138,436.98 and 54,996.30 is: 75,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,319.32 : 138,436.98 = 54,996.30 : x
  2. Step 2: Convert to fraction form
    100,319.32/138,436.98 = 54,996.30/x
  3. Step 3: Cross multiply
    100,319.32x = 138,436.98 × 54,996.30
  4. Step 4: Simplify right side
    100,319.32x = 7,613,521,683.17
  5. Step 5: Solve for x
    x = 7,613,521,683.17/100,319.32
  6. Step 6: Final answer
    x = 75,892.88

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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.