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Finding the Fourth Proportional to 207,226.26, 310,839.40 and 82,654.74

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Solution

The fourth proportional to 207,226.26, 310,839.40 and 82,654.74 is: 123,982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,226.26 : 310,839.40 = 82,654.74 : x
  2. Step 2: Convert to fraction form
    207,226.26/310,839.40 = 82,654.74/x
  3. Step 3: Cross multiply
    207,226.26x = 310,839.40 × 82,654.74
  4. Step 4: Simplify right side
    207,226.26x = 25,692,349,788.76
  5. Step 5: Solve for x
    x = 25,692,349,788.76/207,226.26
  6. Step 6: Final answer
    x = 123,982.11

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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.