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Finding the Fourth Proportional to 281,671, 422,532.54 and 92,132.44

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Solution

The fourth proportional to 281,671, 422,532.54 and 92,132.44 is: 138,207.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,671 : 422,532.54 = 92,132.44 : x
  2. Step 2: Convert to fraction form
    281,671/422,532.54 = 92,132.44/x
  3. Step 3: Cross multiply
    281,671x = 422,532.54 × 92,132.44
  4. Step 4: Simplify right side
    281,671x = 38,928,953,889.60
  5. Step 5: Solve for x
    x = 38,928,953,889.60/281,671
  6. Step 6: Final answer
    x = 138,207.18

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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.