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Finding the Fourth Proportional to 132,237.20, 198,064.20 and 114,741.20

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Solution

The fourth proportional to 132,237.20, 198,064.20 and 114,741.20 is: 171,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,237.20 : 198,064.20 = 114,741.20 : x
  2. Step 2: Convert to fraction form
    132,237.20/198,064.20 = 114,741.20/x
  3. Step 3: Cross multiply
    132,237.20x = 198,064.20 × 114,741.20
  4. Step 4: Simplify right side
    132,237.20x = 22,726,123,985.04
  5. Step 5: Solve for x
    x = 22,726,123,985.04/132,237.20
  6. Step 6: Final answer
    x = 171,858.78

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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.