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Finding the Fourth Proportional to 205,202.80, 307,998.60 and 126,470.80

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Solution

The fourth proportional to 205,202.80, 307,998.60 and 126,470.80 is: 189,826.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,202.80 : 307,998.60 = 126,470.80 : x
  2. Step 2: Convert to fraction form
    205,202.80/307,998.60 = 126,470.80/x
  3. Step 3: Cross multiply
    205,202.80x = 307,998.60 × 126,470.80
  4. Step 4: Simplify right side
    205,202.80x = 38,952,829,340.88
  5. Step 5: Solve for x
    x = 38,952,829,340.88/205,202.80
  6. Step 6: Final answer
    x = 189,826.01

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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.