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Finding the Fourth Proportional to 102,489.42, 141,338.07 and 66,638.46

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Solution

The fourth proportional to 102,489.42, 141,338.07 and 66,638.46 is: 91,897.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,489.42 : 141,338.07 = 66,638.46 : x
  2. Step 2: Convert to fraction form
    102,489.42/141,338.07 = 66,638.46/x
  3. Step 3: Cross multiply
    102,489.42x = 141,338.07 × 66,638.46
  4. Step 4: Simplify right side
    102,489.42x = 9,418,551,324.17
  5. Step 5: Solve for x
    x = 9,418,551,324.17/102,489.42
  6. Step 6: Final answer
    x = 91,897.79

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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.