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Finding the Fourth Proportional to 137,452.38, 189,571.82 and 96,751.24

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Solution

The fourth proportional to 137,452.38, 189,571.82 and 96,751.24 is: 133,437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,452.38 : 189,571.82 = 96,751.24 : x
  2. Step 2: Convert to fraction form
    137,452.38/189,571.82 = 96,751.24/x
  3. Step 3: Cross multiply
    137,452.38x = 189,571.82 × 96,751.24
  4. Step 4: Simplify right side
    137,452.38x = 18,341,308,654.06
  5. Step 5: Solve for x
    x = 18,341,308,654.06/137,452.38
  6. Step 6: Final answer
    x = 133,437.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.