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Finding the Fourth Proportional to 133,046.40, 199,469.76 and 80,445.12

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Solution

The fourth proportional to 133,046.40, 199,469.76 and 80,445.12 is: 120,607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,046.40 : 199,469.76 = 80,445.12 : x
  2. Step 2: Convert to fraction form
    133,046.40/199,469.76 = 80,445.12/x
  3. Step 3: Cross multiply
    133,046.40x = 199,469.76 × 80,445.12
  4. Step 4: Simplify right side
    133,046.40x = 16,046,368,779.57
  5. Step 5: Solve for x
    x = 16,046,368,779.57/133,046.40
  6. Step 6: Final answer
    x = 120,607.31

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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.