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Finding the Fourth Proportional to 107,043.80, 160,565.70 and 75,939.80

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Solution

The fourth proportional to 107,043.80, 160,565.70 and 75,939.80 is: 113,909.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,043.80 : 160,565.70 = 75,939.80 : x
  2. Step 2: Convert to fraction form
    107,043.80/160,565.70 = 75,939.80/x
  3. Step 3: Cross multiply
    107,043.80x = 160,565.70 × 75,939.80
  4. Step 4: Simplify right side
    107,043.80x = 12,193,327,144.86
  5. Step 5: Solve for x
    x = 12,193,327,144.86/107,043.80
  6. Step 6: Final answer
    x = 113,909.70

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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.