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Finding the Fourth Proportional to 132,344.68, 198,405.42 and 57,408.40

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Solution

The fourth proportional to 132,344.68, 198,405.42 and 57,408.40 is: 86,064.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,344.68 : 198,405.42 = 57,408.40 : x
  2. Step 2: Convert to fraction form
    132,344.68/198,405.42 = 57,408.40/x
  3. Step 3: Cross multiply
    132,344.68x = 198,405.42 × 57,408.40
  4. Step 4: Simplify right side
    132,344.68x = 11,390,137,713.53
  5. Step 5: Solve for x
    x = 11,390,137,713.53/132,344.68
  6. Step 6: Final answer
    x = 86,064.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.