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Finding the Fourth Proportional to 100,207.10, 138,285.92 and 54,266.82

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Solution

The fourth proportional to 100,207.10, 138,285.92 and 54,266.82 is: 74,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,207.10 : 138,285.92 = 54,266.82 : x
  2. Step 2: Convert to fraction form
    100,207.10/138,285.92 = 54,266.82/x
  3. Step 3: Cross multiply
    100,207.10x = 138,285.92 × 54,266.82
  4. Step 4: Simplify right side
    100,207.10x = 7,504,337,129.17
  5. Step 5: Solve for x
    x = 7,504,337,129.17/100,207.10
  6. Step 6: Final answer
    x = 74,888.28

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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.