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Finding the Fourth Proportional to 110,655.90, 165,724.65 and 75,404.70

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Solution

The fourth proportional to 110,655.90, 165,724.65 and 75,404.70 is: 112,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,655.90 : 165,724.65 = 75,404.70 : x
  2. Step 2: Convert to fraction form
    110,655.90/165,724.65 = 75,404.70/x
  3. Step 3: Cross multiply
    110,655.90x = 165,724.65 × 75,404.70
  4. Step 4: Simplify right side
    110,655.90x = 12,496,417,515.86
  5. Step 5: Solve for x
    x = 12,496,417,515.86/110,655.90
  6. Step 6: Final answer
    x = 112,930.42

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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.