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Finding the Fourth Proportional to 205,332.60, 307,998.90 and 126,190.20

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Solution

The fourth proportional to 205,332.60, 307,998.90 and 126,190.20 is: 189,285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,332.60 : 307,998.90 = 126,190.20 : x
  2. Step 2: Convert to fraction form
    205,332.60/307,998.90 = 126,190.20/x
  3. Step 3: Cross multiply
    205,332.60x = 307,998.90 × 126,190.20
  4. Step 4: Simplify right side
    205,332.60x = 38,866,442,790.78
  5. Step 5: Solve for x
    x = 38,866,442,790.78/205,332.60
  6. Step 6: Final answer
    x = 189,285.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.