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Finding the Fourth Proportional to 281,432.91, 422,305.17 and 104,056.29

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Solution

The fourth proportional to 281,432.91, 422,305.17 and 104,056.29 is: 156,142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,432.91 : 422,305.17 = 104,056.29 : x
  2. Step 2: Convert to fraction form
    281,432.91/422,305.17 = 104,056.29/x
  3. Step 3: Cross multiply
    281,432.91x = 422,305.17 × 104,056.29
  4. Step 4: Simplify right side
    281,432.91x = 43,943,509,238.02
  5. Step 5: Solve for x
    x = 43,943,509,238.02/281,432.91
  6. Step 6: Final answer
    x = 156,142.04

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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.