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Finding the Fourth Proportional to 141,856.52, 195,761.81 and 78,195.38

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Solution

The fourth proportional to 141,856.52, 195,761.81 and 78,195.38 is: 107,909.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,856.52 : 195,761.81 = 78,195.38 : x
  2. Step 2: Convert to fraction form
    141,856.52/195,761.81 = 78,195.38/x
  3. Step 3: Cross multiply
    141,856.52x = 195,761.81 × 78,195.38
  4. Step 4: Simplify right side
    141,856.52x = 15,307,668,339.12
  5. Step 5: Solve for x
    x = 15,307,668,339.12/141,856.52
  6. Step 6: Final answer
    x = 107,909.52

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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.