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Finding the Fourth Proportional to 240,705.34, 361,092.61 and 82,891.42

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Solution

The fourth proportional to 240,705.34, 361,092.61 and 82,891.42 is: 124,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,705.34 : 361,092.61 = 82,891.42 : x
  2. Step 2: Convert to fraction form
    240,705.34/361,092.61 = 82,891.42/x
  3. Step 3: Cross multiply
    240,705.34x = 361,092.61 × 82,891.42
  4. Step 4: Simplify right side
    240,705.34x = 29,931,479,194.41
  5. Step 5: Solve for x
    x = 29,931,479,194.41/240,705.34
  6. Step 6: Final answer
    x = 124,349.05

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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.