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Finding the Fourth Proportional to 100,224.17, 138,304.40 and 54,902.31

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Solution

The fourth proportional to 100,224.17, 138,304.40 and 54,902.31 is: 75,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,224.17 : 138,304.40 = 54,902.31 : x
  2. Step 2: Convert to fraction form
    100,224.17/138,304.40 = 54,902.31/x
  3. Step 3: Cross multiply
    100,224.17x = 138,304.40 × 54,902.31
  4. Step 4: Simplify right side
    100,224.17x = 7,593,230,351.64
  5. Step 5: Solve for x
    x = 7,593,230,351.64/100,224.17
  6. Step 6: Final answer
    x = 75,762.47

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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.