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Finding the Fourth Proportional to 138,069, 206,771.35 and 78,724.76

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Solution

The fourth proportional to 138,069, 206,771.35 and 78,724.76 is: 117,897.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,069 : 206,771.35 = 78,724.76 : x
  2. Step 2: Convert to fraction form
    138,069/206,771.35 = 78,724.76/x
  3. Step 3: Cross multiply
    138,069x = 206,771.35 × 78,724.76
  4. Step 4: Simplify right side
    138,069x = 16,278,023,476.15
  5. Step 5: Solve for x
    x = 16,278,023,476.15/138,069
  6. Step 6: Final answer
    x = 117,897.74

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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.