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Finding the Fourth Proportional to 281,734.76, 422,617.52 and 71,374.52

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Solution

The fourth proportional to 281,734.76, 422,617.52 and 71,374.52 is: 107,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,734.76 : 422,617.52 = 71,374.52 : x
  2. Step 2: Convert to fraction form
    281,734.76/422,617.52 = 71,374.52/x
  3. Step 3: Cross multiply
    281,734.76x = 422,617.52 × 71,374.52
  4. Step 4: Simplify right side
    281,734.76x = 30,164,122,633.59
  5. Step 5: Solve for x
    x = 30,164,122,633.59/281,734.76
  6. Step 6: Final answer
    x = 107,065.68

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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.