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Finding the Fourth Proportional to 206,962.20, 310,443.30 and 187,279.20

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Solution

The fourth proportional to 206,962.20, 310,443.30 and 187,279.20 is: 280,918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,962.20 : 310,443.30 = 187,279.20 : x
  2. Step 2: Convert to fraction form
    206,962.20/310,443.30 = 187,279.20/x
  3. Step 3: Cross multiply
    206,962.20x = 310,443.30 × 187,279.20
  4. Step 4: Simplify right side
    206,962.20x = 58,139,572,869.36
  5. Step 5: Solve for x
    x = 58,139,572,869.36/206,962.20
  6. Step 6: Final answer
    x = 280,918.80

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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.