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Finding the Fourth Proportional to 101,785.70, 140,512.38 and 67,850.75

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Solution

The fourth proportional to 101,785.70, 140,512.38 and 67,850.75 is: 93,666.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,785.70 : 140,512.38 = 67,850.75 : x
  2. Step 2: Convert to fraction form
    101,785.70/140,512.38 = 67,850.75/x
  3. Step 3: Cross multiply
    101,785.70x = 140,512.38 × 67,850.75
  4. Step 4: Simplify right side
    101,785.70x = 9,533,870,367.29
  5. Step 5: Solve for x
    x = 9,533,870,367.29/101,785.70
  6. Step 6: Final answer
    x = 93,666.11

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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.