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Finding the Fourth Proportional to 120,433.60, 180,477.60 and 88,595.20

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Solution

The fourth proportional to 120,433.60, 180,477.60 and 88,595.20 is: 132,765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,433.60 : 180,477.60 = 88,595.20 : x
  2. Step 2: Convert to fraction form
    120,433.60/180,477.60 = 88,595.20/x
  3. Step 3: Cross multiply
    120,433.60x = 180,477.60 × 88,595.20
  4. Step 4: Simplify right side
    120,433.60x = 15,989,449,067.52
  5. Step 5: Solve for x
    x = 15,989,449,067.52/120,433.60
  6. Step 6: Final answer
    x = 132,765.68

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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.