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Finding the Fourth Proportional to 85,867.80, 128,437.20 and 77,046.90

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Solution

The fourth proportional to 85,867.80, 128,437.20 and 77,046.90 is: 115,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,867.80 : 128,437.20 = 77,046.90 : x
  2. Step 2: Convert to fraction form
    85,867.80/128,437.20 = 77,046.90/x
  3. Step 3: Cross multiply
    85,867.80x = 128,437.20 × 77,046.90
  4. Step 4: Simplify right side
    85,867.80x = 9,895,688,104.68
  5. Step 5: Solve for x
    x = 9,895,688,104.68/85,867.80
  6. Step 6: Final answer
    x = 115,243.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.