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Finding the Fourth Proportional to 141,865.79, 195,774.73 and 78,204.65

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Solution

The fourth proportional to 141,865.79, 195,774.73 and 78,204.65 is: 107,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,865.79 : 195,774.73 = 78,204.65 : x
  2. Step 2: Convert to fraction form
    141,865.79/195,774.73 = 78,204.65/x
  3. Step 3: Cross multiply
    141,865.79x = 195,774.73 × 78,204.65
  4. Step 4: Simplify right side
    141,865.79x = 15,310,494,238.49
  5. Step 5: Solve for x
    x = 15,310,494,238.49/141,865.79
  6. Step 6: Final answer
    x = 107,922.38

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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.