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Finding the Fourth Proportional to 120,494.60, 180,757.78 and 44,582.84

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Solution

The fourth proportional to 120,494.60, 180,757.78 and 44,582.84 is: 66,880.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,494.60 : 180,757.78 = 44,582.84 : x
  2. Step 2: Convert to fraction form
    120,494.60/180,757.78 = 44,582.84/x
  3. Step 3: Cross multiply
    120,494.60x = 180,757.78 × 44,582.84
  4. Step 4: Simplify right side
    120,494.60x = 8,058,695,184.50
  5. Step 5: Solve for x
    x = 8,058,695,184.50/120,494.60
  6. Step 6: Final answer
    x = 66,880.14

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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.