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Finding the Fourth Proportional to 263,669.92, 363,864.72 and 144,437.92

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Solution

The fourth proportional to 263,669.92, 363,864.72 and 144,437.92 is: 199,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,669.92 : 363,864.72 = 144,437.92 : x
  2. Step 2: Convert to fraction form
    263,669.92/363,864.72 = 144,437.92/x
  3. Step 3: Cross multiply
    263,669.92x = 363,864.72 × 144,437.92
  4. Step 4: Simplify right side
    263,669.92x = 52,555,863,318.18
  5. Step 5: Solve for x
    x = 52,555,863,318.18/263,669.92
  6. Step 6: Final answer
    x = 199,324.46

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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.