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Finding the Fourth Proportional to 141,796.38, 195,683.12 and 78,138.28

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Solution

The fourth proportional to 141,796.38, 195,683.12 and 78,138.28 is: 107,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,796.38 : 195,683.12 = 78,138.28 : x
  2. Step 2: Convert to fraction form
    141,796.38/195,683.12 = 78,138.28/x
  3. Step 3: Cross multiply
    141,796.38x = 195,683.12 × 78,138.28
  4. Step 4: Simplify right side
    141,796.38x = 15,290,342,421.83
  5. Step 5: Solve for x
    x = 15,290,342,421.83/141,796.38
  6. Step 6: Final answer
    x = 107,833.09

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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.