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Finding the Fourth Proportional to 134,841.60, 202,408.20 and 75,792.60

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Solution

The fourth proportional to 134,841.60, 202,408.20 and 75,792.60 is: 113,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,841.60 : 202,408.20 = 75,792.60 : x
  2. Step 2: Convert to fraction form
    134,841.60/202,408.20 = 75,792.60/x
  3. Step 3: Cross multiply
    134,841.60x = 202,408.20 × 75,792.60
  4. Step 4: Simplify right side
    134,841.60x = 15,341,043,739.32
  5. Step 5: Solve for x
    x = 15,341,043,739.32/134,841.60
  6. Step 6: Final answer
    x = 113,770.85

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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.