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Finding the Fourth Proportional to 141,992.38, 195,948.39 and 78,332.86

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Solution

The fourth proportional to 141,992.38, 195,948.39 and 78,332.86 is: 108,098.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,992.38 : 195,948.39 = 78,332.86 : x
  2. Step 2: Convert to fraction form
    141,992.38/195,948.39 = 78,332.86/x
  3. Step 3: Cross multiply
    141,992.38x = 195,948.39 × 78,332.86
  4. Step 4: Simplify right side
    141,992.38x = 15,349,197,801.10
  5. Step 5: Solve for x
    x = 15,349,197,801.10/141,992.38
  6. Step 6: Final answer
    x = 108,098.74

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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.