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Finding the Fourth Proportional to 120,137.72, 165,794.76 and 79,781.90

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Solution

The fourth proportional to 120,137.72, 165,794.76 and 79,781.90 is: 110,102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,137.72 : 165,794.76 = 79,781.90 : x
  2. Step 2: Convert to fraction form
    120,137.72/165,794.76 = 79,781.90/x
  3. Step 3: Cross multiply
    120,137.72x = 165,794.76 × 79,781.90
  4. Step 4: Simplify right side
    120,137.72x = 13,227,420,962.84
  5. Step 5: Solve for x
    x = 13,227,420,962.84/120,137.72
  6. Step 6: Final answer
    x = 110,102.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.