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Finding the Fourth Proportional to 308,206.80, 462,310.20 and 86,590.80

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Solution

The fourth proportional to 308,206.80, 462,310.20 and 86,590.80 is: 129,886.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,206.80 : 462,310.20 = 86,590.80 : x
  2. Step 2: Convert to fraction form
    308,206.80/462,310.20 = 86,590.80/x
  3. Step 3: Cross multiply
    308,206.80x = 462,310.20 × 86,590.80
  4. Step 4: Simplify right side
    308,206.80x = 40,031,810,066.16
  5. Step 5: Solve for x
    x = 40,031,810,066.16/308,206.80
  6. Step 6: Final answer
    x = 129,886.20

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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.