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Finding the Fourth Proportional to 281,192.88, 421,789.32 and 123,422.70

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Solution

The fourth proportional to 281,192.88, 421,789.32 and 123,422.70 is: 185,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,192.88 : 421,789.32 = 123,422.70 : x
  2. Step 2: Convert to fraction form
    281,192.88/421,789.32 = 123,422.70/x
  3. Step 3: Cross multiply
    281,192.88x = 421,789.32 × 123,422.70
  4. Step 4: Simplify right side
    281,192.88x = 52,058,376,705.56
  5. Step 5: Solve for x
    x = 52,058,376,705.56/281,192.88
  6. Step 6: Final answer
    x = 185,134.05

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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.