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Finding the Fourth Proportional to 115,414.20, 172,829.70 and 75,756.60

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Solution

The fourth proportional to 115,414.20, 172,829.70 and 75,756.60 is: 113,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,414.20 : 172,829.70 = 75,756.60 : x
  2. Step 2: Convert to fraction form
    115,414.20/172,829.70 = 75,756.60/x
  3. Step 3: Cross multiply
    115,414.20x = 172,829.70 × 75,756.60
  4. Step 4: Simplify right side
    115,414.20x = 13,092,990,451.02
  5. Step 5: Solve for x
    x = 13,092,990,451.02/115,414.20
  6. Step 6: Final answer
    x = 113,443.50

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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.