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Finding the Fourth Proportional to 85,838.20, 128,498.10 and 75,470.20

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Solution

The fourth proportional to 85,838.20, 128,498.10 and 75,470.20 is: 112,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,838.20 : 128,498.10 = 75,470.20 : x
  2. Step 2: Convert to fraction form
    85,838.20/128,498.10 = 75,470.20/x
  3. Step 3: Cross multiply
    85,838.20x = 128,498.10 × 75,470.20
  4. Step 4: Simplify right side
    85,838.20x = 9,697,777,306.62
  5. Step 5: Solve for x
    x = 9,697,777,306.62/85,838.20
  6. Step 6: Final answer
    x = 112,977.41

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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.