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Finding the Fourth Proportional to 193,014.92, 289,508.43 and 59,891.78

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Solution

The fourth proportional to 193,014.92, 289,508.43 and 59,891.78 is: 89,833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,014.92 : 289,508.43 = 59,891.78 : x
  2. Step 2: Convert to fraction form
    193,014.92/289,508.43 = 59,891.78/x
  3. Step 3: Cross multiply
    193,014.92x = 289,508.43 × 59,891.78
  4. Step 4: Simplify right side
    193,014.92x = 17,339,175,197.71
  5. Step 5: Solve for x
    x = 17,339,175,197.71/193,014.92
  6. Step 6: Final answer
    x = 89,833.34

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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.