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Finding the Fourth Proportional to 132,077.70, 198,128.70 and 53,175.60

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Solution

The fourth proportional to 132,077.70, 198,128.70 and 53,175.60 is: 79,768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,077.70 : 198,128.70 = 53,175.60 : x
  2. Step 2: Convert to fraction form
    132,077.70/198,128.70 = 53,175.60/x
  3. Step 3: Cross multiply
    132,077.70x = 198,128.70 × 53,175.60
  4. Step 4: Simplify right side
    132,077.70x = 10,535,612,499.72
  5. Step 5: Solve for x
    x = 10,535,612,499.72/132,077.70
  6. Step 6: Final answer
    x = 79,768.29

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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.