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Finding the Fourth Proportional to 263,167.98, 363,150.86 and 148,409.82

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Solution

The fourth proportional to 263,167.98, 363,150.86 and 148,409.82 is: 204,793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,167.98 : 363,150.86 = 148,409.82 : x
  2. Step 2: Convert to fraction form
    263,167.98/363,150.86 = 148,409.82/x
  3. Step 3: Cross multiply
    263,167.98x = 363,150.86 × 148,409.82
  4. Step 4: Simplify right side
    263,167.98x = 53,895,153,765.45
  5. Step 5: Solve for x
    x = 53,895,153,765.45/263,167.98
  6. Step 6: Final answer
    x = 204,793.74

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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.