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Finding the Fourth Proportional to 120,276.30, 180,430.65 and 41,414.70

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Solution

The fourth proportional to 120,276.30, 180,430.65 and 41,414.70 is: 62,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,276.30 : 180,430.65 = 41,414.70 : x
  2. Step 2: Convert to fraction form
    120,276.30/180,430.65 = 41,414.70/x
  3. Step 3: Cross multiply
    120,276.30x = 180,430.65 × 41,414.70
  4. Step 4: Simplify right side
    120,276.30x = 7,472,481,240.56
  5. Step 5: Solve for x
    x = 7,472,481,240.56/120,276.30
  6. Step 6: Final answer
    x = 62,127.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.