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Finding the Fourth Proportional to 120,101.80, 180,255.10 and 53,644.20

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Solution

The fourth proportional to 120,101.80, 180,255.10 and 53,644.20 is: 80,512.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,101.80 : 180,255.10 = 53,644.20 : x
  2. Step 2: Convert to fraction form
    120,101.80/180,255.10 = 53,644.20/x
  3. Step 3: Cross multiply
    120,101.80x = 180,255.10 × 53,644.20
  4. Step 4: Simplify right side
    120,101.80x = 9,669,640,635.42
  5. Step 5: Solve for x
    x = 9,669,640,635.42/120,101.80
  6. Step 6: Final answer
    x = 80,512.04

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1.5x scale

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.