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Finding the Fourth Proportional to 193,174.92, 289,691.40 and 66,782.76

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Solution

The fourth proportional to 193,174.92, 289,691.40 and 66,782.76 is: 100,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,174.92 : 289,691.40 = 66,782.76 : x
  2. Step 2: Convert to fraction form
    193,174.92/289,691.40 = 66,782.76/x
  3. Step 3: Cross multiply
    193,174.92x = 289,691.40 × 66,782.76
  4. Step 4: Simplify right side
    193,174.92x = 19,346,391,240.26
  5. Step 5: Solve for x
    x = 19,346,391,240.26/193,174.92
  6. Step 6: Final answer
    x = 100,149.60

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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.