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Finding the Fourth Proportional to 138,910.40, 208,304.16 and 40,422.08

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Solution

The fourth proportional to 138,910.40, 208,304.16 and 40,422.08 is: 60,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,910.40 : 208,304.16 = 40,422.08 : x
  2. Step 2: Convert to fraction form
    138,910.40/208,304.16 = 40,422.08/x
  3. Step 3: Cross multiply
    138,910.40x = 208,304.16 × 40,422.08
  4. Step 4: Simplify right side
    138,910.40x = 8,420,087,419.85
  5. Step 5: Solve for x
    x = 8,420,087,419.85/138,910.40
  6. Step 6: Final answer
    x = 60,615.24

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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.