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Finding the Fourth Proportional to 281,102.97, 421,792.97 and 131,353.61

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Solution

The fourth proportional to 281,102.97, 421,792.97 and 131,353.61 is: 197,095.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,102.97 : 421,792.97 = 131,353.61 : x
  2. Step 2: Convert to fraction form
    281,102.97/421,792.97 = 131,353.61/x
  3. Step 3: Cross multiply
    281,102.97x = 421,792.97 × 131,353.61
  4. Step 4: Simplify right side
    281,102.97x = 55,404,029,282.12
  5. Step 5: Solve for x
    x = 55,404,029,282.12/281,102.97
  6. Step 6: Final answer
    x = 197,095.14

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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.