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Finding the Fourth Proportional to 162,853.29, 224,736.78 and 91,233.90

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Solution

The fourth proportional to 162,853.29, 224,736.78 and 91,233.90 is: 125,902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,853.29 : 224,736.78 = 91,233.90 : x
  2. Step 2: Convert to fraction form
    162,853.29/224,736.78 = 91,233.90/x
  3. Step 3: Cross multiply
    162,853.29x = 224,736.78 × 91,233.90
  4. Step 4: Simplify right side
    162,853.29x = 20,503,612,912.84
  5. Step 5: Solve for x
    x = 20,503,612,912.84/162,853.29
  6. Step 6: Final answer
    x = 125,902.36

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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.