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Finding the Fourth Proportional to 263,655.98, 363,877.21 and 148,939.46

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Solution

The fourth proportional to 263,655.98, 363,877.21 and 148,939.46 is: 205,554.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,655.98 : 363,877.21 = 148,939.46 : x
  2. Step 2: Convert to fraction form
    263,655.98/363,877.21 = 148,939.46/x
  3. Step 3: Cross multiply
    263,655.98x = 363,877.21 × 148,939.46
  4. Step 4: Simplify right side
    263,655.98x = 54,195,675,163.71
  5. Step 5: Solve for x
    x = 54,195,675,163.71/263,655.98
  6. Step 6: Final answer
    x = 205,554.51

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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.