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Finding the Fourth Proportional to 120,405.25, 180,616.53 and 41,518.34

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Solution

The fourth proportional to 120,405.25, 180,616.53 and 41,518.34 is: 62,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,405.25 : 180,616.53 = 41,518.34 : x
  2. Step 2: Convert to fraction form
    120,405.25/180,616.53 = 41,518.34/x
  3. Step 3: Cross multiply
    120,405.25x = 180,616.53 × 41,518.34
  4. Step 4: Simplify right side
    120,405.25x = 7,498,898,432.08
  5. Step 5: Solve for x
    x = 7,498,898,432.08/120,405.25
  6. Step 6: Final answer
    x = 62,280.49

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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.