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Finding the Fourth Proportional to 132,203.80, 198,419.10 and 53,374.60

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Solution

The fourth proportional to 132,203.80, 198,419.10 and 53,374.60 is: 80,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,203.80 : 198,419.10 = 53,374.60 : x
  2. Step 2: Convert to fraction form
    132,203.80/198,419.10 = 53,374.60/x
  3. Step 3: Cross multiply
    132,203.80x = 198,419.10 × 53,374.60
  4. Step 4: Simplify right side
    132,203.80x = 10,590,540,094.86
  5. Step 5: Solve for x
    x = 10,590,540,094.86/132,203.80
  6. Step 6: Final answer
    x = 80,107.68

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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.