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Finding the Fourth Proportional to 120,614.90, 180,940.17 and 41,707.94

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Solution

The fourth proportional to 120,614.90, 180,940.17 and 41,707.94 is: 62,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,614.90 : 180,940.17 = 41,707.94 : x
  2. Step 2: Convert to fraction form
    120,614.90/180,940.17 = 41,707.94/x
  3. Step 3: Cross multiply
    120,614.90x = 180,940.17 × 41,707.94
  4. Step 4: Simplify right side
    120,614.90x = 7,546,641,753.95
  5. Step 5: Solve for x
    x = 7,546,641,753.95/120,614.90
  6. Step 6: Final answer
    x = 62,568.07

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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.