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Finding the Fourth Proportional to 281,073.52, 421,671.84 and 81,402.04

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Solution

The fourth proportional to 281,073.52, 421,671.84 and 81,402.04 is: 122,120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,073.52 : 421,671.84 = 81,402.04 : x
  2. Step 2: Convert to fraction form
    281,073.52/421,671.84 = 81,402.04/x
  3. Step 3: Cross multiply
    281,073.52x = 421,671.84 × 81,402.04
  4. Step 4: Simplify right side
    281,073.52x = 34,324,947,986.55
  5. Step 5: Solve for x
    x = 34,324,947,986.55/281,073.52
  6. Step 6: Final answer
    x = 122,120.89

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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.