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Finding the Fourth Proportional to 281,902.59, 422,763.57 and 92,311.56

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Solution

The fourth proportional to 281,902.59, 422,763.57 and 92,311.56 is: 138,437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,902.59 : 422,763.57 = 92,311.56 : x
  2. Step 2: Convert to fraction form
    281,902.59/422,763.57 = 92,311.56/x
  3. Step 3: Cross multiply
    281,902.59x = 422,763.57 × 92,311.56
  4. Step 4: Simplify right side
    281,902.59x = 39,025,964,657.87
  5. Step 5: Solve for x
    x = 39,025,964,657.87/281,902.59
  6. Step 6: Final answer
    x = 138,437.77

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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.