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Finding the Fourth Proportional to 138,544.41, 207,816.66 and 33,363.38

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Solution

The fourth proportional to 138,544.41, 207,816.66 and 33,363.38 is: 50,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,544.41 : 207,816.66 = 33,363.38 : x
  2. Step 2: Convert to fraction form
    138,544.41/207,816.66 = 33,363.38/x
  3. Step 3: Cross multiply
    138,544.41x = 207,816.66 × 33,363.38
  4. Step 4: Simplify right side
    138,544.41x = 6,933,465,158.83
  5. Step 5: Solve for x
    x = 6,933,465,158.83/138,544.41
  6. Step 6: Final answer
    x = 50,045.07

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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.