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Finding the Fourth Proportional to 261,920.38, 361,452.63 and 148,743.94

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Solution

The fourth proportional to 261,920.38, 361,452.63 and 148,743.94 is: 205,268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,920.38 : 361,452.63 = 148,743.94 : x
  2. Step 2: Convert to fraction form
    261,920.38/361,452.63 = 148,743.94/x
  3. Step 3: Cross multiply
    261,920.38x = 361,452.63 × 148,743.94
  4. Step 4: Simplify right side
    261,920.38x = 53,763,888,309.56
  5. Step 5: Solve for x
    x = 53,763,888,309.56/261,920.38
  6. Step 6: Final answer
    x = 205,268.06

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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.