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Finding the Fourth Proportional to 120,524.47, 180,608.52 and 113,784.60

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Solution

The fourth proportional to 120,524.47, 180,608.52 and 113,784.60 is: 170,508.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,524.47 : 180,608.52 = 113,784.60 : x
  2. Step 2: Convert to fraction form
    120,524.47/180,608.52 = 113,784.60/x
  3. Step 3: Cross multiply
    120,524.47x = 180,608.52 × 113,784.60
  4. Step 4: Simplify right side
    120,524.47x = 20,550,468,204.79
  5. Step 5: Solve for x
    x = 20,550,468,204.79/120,524.47
  6. Step 6: Final answer
    x = 170,508.68

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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.