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Finding the Fourth Proportional to 99,344.34, 148,843.17 and 82,810.62

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Solution

The fourth proportional to 99,344.34, 148,843.17 and 82,810.62 is: 124,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,344.34 : 148,843.17 = 82,810.62 : x
  2. Step 2: Convert to fraction form
    99,344.34/148,843.17 = 82,810.62/x
  3. Step 3: Cross multiply
    99,344.34x = 148,843.17 × 82,810.62
  4. Step 4: Simplify right side
    99,344.34x = 12,325,795,190.47
  5. Step 5: Solve for x
    x = 12,325,795,190.47/99,344.34
  6. Step 6: Final answer
    x = 124,071.44

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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.