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Finding the Fourth Proportional to 281,055.66, 421,584.21 and 114,843.66

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Solution

The fourth proportional to 281,055.66, 421,584.21 and 114,843.66 is: 172,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,055.66 : 421,584.21 = 114,843.66 : x
  2. Step 2: Convert to fraction form
    281,055.66/421,584.21 = 114,843.66/x
  3. Step 3: Cross multiply
    281,055.66x = 421,584.21 × 114,843.66
  4. Step 4: Simplify right side
    281,055.66x = 48,416,273,674.61
  5. Step 5: Solve for x
    x = 48,416,273,674.61/281,055.66
  6. Step 6: Final answer
    x = 172,265.78

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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.