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Finding the Fourth Proportional to 100,213.49, 138,294.56 and 54,894.29

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Solution

The fourth proportional to 100,213.49, 138,294.56 and 54,894.29 is: 75,754.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,213.49 : 138,294.56 = 54,894.29 : x
  2. Step 2: Convert to fraction form
    100,213.49/138,294.56 = 54,894.29/x
  3. Step 3: Cross multiply
    100,213.49x = 138,294.56 × 54,894.29
  4. Step 4: Simplify right side
    100,213.49x = 7,591,581,127.83
  5. Step 5: Solve for x
    x = 7,591,581,127.83/100,213.49
  6. Step 6: Final answer
    x = 75,754.08

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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.