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Finding the Fourth Proportional to 141,894.38, 195,813.05 and 78,230.81

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Solution

The fourth proportional to 141,894.38, 195,813.05 and 78,230.81 is: 107,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,894.38 : 195,813.05 = 78,230.81 : x
  2. Step 2: Convert to fraction form
    141,894.38/195,813.05 = 78,230.81/x
  3. Step 3: Cross multiply
    141,894.38x = 195,813.05 × 78,230.81
  4. Step 4: Simplify right side
    141,894.38x = 15,318,613,608.45
  5. Step 5: Solve for x
    x = 15,318,613,608.45/141,894.38
  6. Step 6: Final answer
    x = 107,957.86

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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.