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Finding the Fourth Proportional to 138,145.69, 207,197.97 and 38,295.46

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Solution

The fourth proportional to 138,145.69, 207,197.97 and 38,295.46 is: 57,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,145.69 : 207,197.97 = 38,295.46 : x
  2. Step 2: Convert to fraction form
    138,145.69/207,197.97 = 38,295.46/x
  3. Step 3: Cross multiply
    138,145.69x = 207,197.97 × 38,295.46
  4. Step 4: Simplify right side
    138,145.69x = 7,934,741,572.22
  5. Step 5: Solve for x
    x = 7,934,741,572.22/138,145.69
  6. Step 6: Final answer
    x = 57,437.49

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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.