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Finding the Fourth Proportional to 100,257.56, 138,355.35 and 54,938.36

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Solution

The fourth proportional to 100,257.56, 138,355.35 and 54,938.36 is: 75,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,257.56 : 138,355.35 = 54,938.36 : x
  2. Step 2: Convert to fraction form
    100,257.56/138,355.35 = 54,938.36/x
  3. Step 3: Cross multiply
    100,257.56x = 138,355.35 × 54,938.36
  4. Step 4: Simplify right side
    100,257.56x = 7,601,016,026.23
  5. Step 5: Solve for x
    x = 7,601,016,026.23/100,257.56
  6. Step 6: Final answer
    x = 75,814.89

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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.