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Finding the Fourth Proportional to 107,042.96, 160,534.20 and 67,540.88

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Solution

The fourth proportional to 107,042.96, 160,534.20 and 67,540.88 is: 101,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,042.96 : 160,534.20 = 67,540.88 : x
  2. Step 2: Convert to fraction form
    107,042.96/160,534.20 = 67,540.88/x
  3. Step 3: Cross multiply
    107,042.96x = 160,534.20 × 67,540.88
  4. Step 4: Simplify right side
    107,042.96x = 10,842,621,138.10
  5. Step 5: Solve for x
    x = 10,842,621,138.10/107,042.96
  6. Step 6: Final answer
    x = 101,292.24

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1.5x scale

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.