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Finding the Fourth Proportional to 120,916.46, 181,374.46 and 32,169.96

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Solution

The fourth proportional to 120,916.46, 181,374.46 and 32,169.96 is: 48,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,916.46 : 181,374.46 = 32,169.96 : x
  2. Step 2: Convert to fraction form
    120,916.46/181,374.46 = 32,169.96/x
  3. Step 3: Cross multiply
    120,916.46x = 181,374.46 × 32,169.96
  4. Step 4: Simplify right side
    120,916.46x = 5,834,809,042.80
  5. Step 5: Solve for x
    x = 5,834,809,042.80/120,916.46
  6. Step 6: Final answer
    x = 48,254.88

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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.