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Finding the Fourth Proportional to 261,067.52, 360,273.92 and 141,835.52

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Solution

The fourth proportional to 261,067.52, 360,273.92 and 141,835.52 is: 195,733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,067.52 : 360,273.92 = 141,835.52 : x
  2. Step 2: Convert to fraction form
    261,067.52/360,273.92 = 141,835.52/x
  3. Step 3: Cross multiply
    261,067.52x = 360,273.92 × 141,835.52
  4. Step 4: Simplify right side
    261,067.52x = 51,099,638,785.64
  5. Step 5: Solve for x
    x = 51,099,638,785.64/261,067.52
  6. Step 6: Final answer
    x = 195,733.42

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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.