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Finding the Fourth Proportional to 132,412.50, 198,618.75 and 38,918.25

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Solution

The fourth proportional to 132,412.50, 198,618.75 and 38,918.25 is: 58,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,412.50 : 198,618.75 = 38,918.25 : x
  2. Step 2: Convert to fraction form
    132,412.50/198,618.75 = 38,918.25/x
  3. Step 3: Cross multiply
    132,412.50x = 198,618.75 × 38,918.25
  4. Step 4: Simplify right side
    132,412.50x = 7,729,894,167.19
  5. Step 5: Solve for x
    x = 7,729,894,167.19/132,412.50
  6. Step 6: Final answer
    x = 58,377.38

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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.