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Finding the Fourth Proportional to 138,196.50, 207,286.52 and 81,302.37

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Solution

The fourth proportional to 138,196.50, 207,286.52 and 81,302.37 is: 121,948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,196.50 : 207,286.52 = 81,302.37 : x
  2. Step 2: Convert to fraction form
    138,196.50/207,286.52 = 81,302.37/x
  3. Step 3: Cross multiply
    138,196.50x = 207,286.52 × 81,302.37
  4. Step 4: Simplify right side
    138,196.50x = 16,852,884,938.54
  5. Step 5: Solve for x
    x = 16,852,884,938.54/138,196.50
  6. Step 6: Final answer
    x = 121,948.71

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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.