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Finding the Fourth Proportional to 281,112.75, 421,727.45 and 114,900.75

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Solution

The fourth proportional to 281,112.75, 421,727.45 and 114,900.75 is: 172,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,112.75 : 421,727.45 = 114,900.75 : x
  2. Step 2: Convert to fraction form
    281,112.75/421,727.45 = 114,900.75/x
  3. Step 3: Cross multiply
    281,112.75x = 421,727.45 × 114,900.75
  4. Step 4: Simplify right side
    281,112.75x = 48,456,799,726.08
  5. Step 5: Solve for x
    x = 48,456,799,726.08/281,112.75
  6. Step 6: Final answer
    x = 172,374.96

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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.