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Finding the Fourth Proportional to 263,379.97, 363,465.32 and 142,521.26

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Solution

The fourth proportional to 263,379.97, 363,465.32 and 142,521.26 is: 196,679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,379.97 : 363,465.32 = 142,521.26 : x
  2. Step 2: Convert to fraction form
    263,379.97/363,465.32 = 142,521.26/x
  3. Step 3: Cross multiply
    263,379.97x = 363,465.32 × 142,521.26
  4. Step 4: Simplify right side
    263,379.97x = 51,801,533,555.38
  5. Step 5: Solve for x
    x = 51,801,533,555.38/263,379.97
  6. Step 6: Final answer
    x = 196,679.85

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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.