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Finding the Fourth Proportional to 120,489.84, 180,755.44 and 41,585.60

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Solution

The fourth proportional to 120,489.84, 180,755.44 and 41,585.60 is: 62,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,489.84 : 180,755.44 = 41,585.60 : x
  2. Step 2: Convert to fraction form
    120,489.84/180,755.44 = 41,585.60/x
  3. Step 3: Cross multiply
    120,489.84x = 180,755.44 × 41,585.60
  4. Step 4: Simplify right side
    120,489.84x = 7,516,823,425.66
  5. Step 5: Solve for x
    x = 7,516,823,425.66/120,489.84
  6. Step 6: Final answer
    x = 62,385.54

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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.