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Finding the Fourth Proportional to 193,387.68, 289,962.42 and 66,998.52

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Solution

The fourth proportional to 193,387.68, 289,962.42 and 66,998.52 is: 100,456.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,387.68 : 289,962.42 = 66,998.52 : x
  2. Step 2: Convert to fraction form
    193,387.68/289,962.42 = 66,998.52/x
  3. Step 3: Cross multiply
    193,387.68x = 289,962.42 × 66,998.52
  4. Step 4: Simplify right side
    193,387.68x = 19,427,052,995.62
  5. Step 5: Solve for x
    x = 19,427,052,995.62/193,387.68
  6. Step 6: Final answer
    x = 100,456.52

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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.