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Finding the Fourth Proportional to 85,909.90, 128,864.85 and 80,077.90

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Solution

The fourth proportional to 85,909.90, 128,864.85 and 80,077.90 is: 120,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,909.90 : 128,864.85 = 80,077.90 : x
  2. Step 2: Convert to fraction form
    85,909.90/128,864.85 = 80,077.90/x
  3. Step 3: Cross multiply
    85,909.90x = 128,864.85 × 80,077.90
  4. Step 4: Simplify right side
    85,909.90x = 10,319,226,571.82
  5. Step 5: Solve for x
    x = 10,319,226,571.82/85,909.90
  6. Step 6: Final answer
    x = 120,116.85

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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.