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Finding the Fourth Proportional to 101,581.38, 140,135.78 and 65,782.94

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Solution

The fourth proportional to 101,581.38, 140,135.78 and 65,782.94 is: 90,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,581.38 : 140,135.78 = 65,782.94 : x
  2. Step 2: Convert to fraction form
    101,581.38/140,135.78 = 65,782.94/x
  3. Step 3: Cross multiply
    101,581.38x = 140,135.78 × 65,782.94
  4. Step 4: Simplify right side
    101,581.38x = 9,218,543,607.59
  5. Step 5: Solve for x
    x = 9,218,543,607.59/101,581.38
  6. Step 6: Final answer
    x = 90,750.33

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Why These Related Problems?

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