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Finding the Fourth Proportional to 204,337.61, 281,992.57 and 127,832.25

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Solution

The fourth proportional to 204,337.61, 281,992.57 and 127,832.25 is: 176,412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,337.61 : 281,992.57 = 127,832.25 : x
  2. Step 2: Convert to fraction form
    204,337.61/281,992.57 = 127,832.25/x
  3. Step 3: Cross multiply
    204,337.61x = 281,992.57 × 127,832.25
  4. Step 4: Simplify right side
    204,337.61x = 36,047,744,706.38
  5. Step 5: Solve for x
    x = 36,047,744,706.38/204,337.61
  6. Step 6: Final answer
    x = 176,412.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.