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Finding the Fourth Proportional to 131,902.80, 182,034.78 and 74,522.22

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Solution

The fourth proportional to 131,902.80, 182,034.78 and 74,522.22 is: 102,845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,902.80 : 182,034.78 = 74,522.22 : x
  2. Step 2: Convert to fraction form
    131,902.80/182,034.78 = 74,522.22/x
  3. Step 3: Cross multiply
    131,902.80x = 182,034.78 × 74,522.22
  4. Step 4: Simplify right side
    131,902.80x = 13,565,635,922.81
  5. Step 5: Solve for x
    x = 13,565,635,922.81/131,902.80
  6. Step 6: Final answer
    x = 102,845.70

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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.