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Finding the Fourth Proportional to 281,079.80, 420,744.90 and 162,398.60

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Solution

The fourth proportional to 281,079.80, 420,744.90 and 162,398.60 is: 243,092.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,079.80 : 420,744.90 = 162,398.60 : x
  2. Step 2: Convert to fraction form
    281,079.80/420,744.90 = 162,398.60/x
  3. Step 3: Cross multiply
    281,079.80x = 420,744.90 × 162,398.60
  4. Step 4: Simplify right side
    281,079.80x = 68,328,382,717.14
  5. Step 5: Solve for x
    x = 68,328,382,717.14/281,079.80
  6. Step 6: Final answer
    x = 243,092.47

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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.