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Finding the Fourth Proportional to 138,797.50, 208,202.01 and 40,301.50

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Solution

The fourth proportional to 138,797.50, 208,202.01 and 40,301.50 is: 60,453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,797.50 : 208,202.01 = 40,301.50 : x
  2. Step 2: Convert to fraction form
    138,797.50/208,202.01 = 40,301.50/x
  3. Step 3: Cross multiply
    138,797.50x = 208,202.01 × 40,301.50
  4. Step 4: Simplify right side
    138,797.50x = 8,390,853,306.02
  5. Step 5: Solve for x
    x = 8,390,853,306.02/138,797.50
  6. Step 6: Final answer
    x = 60,453.92

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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.