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Finding the Fourth Proportional to 263,227.41, 363,253.89 and 148,530.41

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Solution

The fourth proportional to 263,227.41, 363,253.89 and 148,530.41 is: 204,972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,227.41 : 363,253.89 = 148,530.41 : x
  2. Step 2: Convert to fraction form
    263,227.41/363,253.89 = 148,530.41/x
  3. Step 3: Cross multiply
    263,227.41x = 363,253.89 × 148,530.41
  4. Step 4: Simplify right side
    263,227.41x = 53,954,247,399.53
  5. Step 5: Solve for x
    x = 53,954,247,399.53/263,227.41
  6. Step 6: Final answer
    x = 204,972.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.