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Finding the Fourth Proportional to 132,117, 198,196.14 and 43,350.31

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Solution

The fourth proportional to 132,117, 198,196.14 and 43,350.31 is: 65,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,117 : 198,196.14 = 43,350.31 : x
  2. Step 2: Convert to fraction form
    132,117/198,196.14 = 43,350.31/x
  3. Step 3: Cross multiply
    132,117x = 198,196.14 × 43,350.31
  4. Step 4: Simplify right side
    132,117x = 8,591,864,109.80
  5. Step 5: Solve for x
    x = 8,591,864,109.80/132,117
  6. Step 6: Final answer
    x = 65,032.24

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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.