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Finding the Fourth Proportional to 205,306.80, 307,960.20 and 135,265.20

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Solution

The fourth proportional to 205,306.80, 307,960.20 and 135,265.20 is: 202,897.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,306.80 : 307,960.20 = 135,265.20 : x
  2. Step 2: Convert to fraction form
    205,306.80/307,960.20 = 135,265.20/x
  3. Step 3: Cross multiply
    205,306.80x = 307,960.20 × 135,265.20
  4. Step 4: Simplify right side
    205,306.80x = 41,656,298,045.04
  5. Step 5: Solve for x
    x = 41,656,298,045.04/205,306.80
  6. Step 6: Final answer
    x = 202,897.80

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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.