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Finding the Fourth Proportional to 101,577.57, 140,200.38 and 67,587.49

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Solution

The fourth proportional to 101,577.57, 140,200.38 and 67,587.49 is: 93,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,577.57 : 140,200.38 = 67,587.49 : x
  2. Step 2: Convert to fraction form
    101,577.57/140,200.38 = 67,587.49/x
  3. Step 3: Cross multiply
    101,577.57x = 140,200.38 × 67,587.49
  4. Step 4: Simplify right side
    101,577.57x = 9,475,790,742.31
  5. Step 5: Solve for x
    x = 9,475,790,742.31/101,577.57
  6. Step 6: Final answer
    x = 93,286.25

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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.