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Finding the Fourth Proportional to 120,365.48, 180,446.61 and 75,894.20

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Solution

The fourth proportional to 120,365.48, 180,446.61 and 75,894.20 is: 113,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,365.48 : 180,446.61 = 75,894.20 : x
  2. Step 2: Convert to fraction form
    120,365.48/180,446.61 = 75,894.20/x
  3. Step 3: Cross multiply
    120,365.48x = 180,446.61 × 75,894.20
  4. Step 4: Simplify right side
    120,365.48x = 13,694,851,108.66
  5. Step 5: Solve for x
    x = 13,694,851,108.66/120,365.48
  6. Step 6: Final answer
    x = 113,777.23

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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.