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Finding the Fourth Proportional to 205,193.60, 307,726.40 and 80,572.80

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Solution

The fourth proportional to 205,193.60, 307,726.40 and 80,572.80 is: 120,834.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,193.60 : 307,726.40 = 80,572.80 : x
  2. Step 2: Convert to fraction form
    205,193.60/307,726.40 = 80,572.80/x
  3. Step 3: Cross multiply
    205,193.60x = 307,726.40 × 80,572.80
  4. Step 4: Simplify right side
    205,193.60x = 24,794,377,681.92
  5. Step 5: Solve for x
    x = 24,794,377,681.92/205,193.60
  6. Step 6: Final answer
    x = 120,834.07

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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.