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Finding the Fourth Proportional to 141,446.08, 195,190.56 and 77,783.44

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Solution

The fourth proportional to 141,446.08, 195,190.56 and 77,783.44 is: 107,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,446.08 : 195,190.56 = 77,783.44 : x
  2. Step 2: Convert to fraction form
    141,446.08/195,190.56 = 77,783.44/x
  3. Step 3: Cross multiply
    141,446.08x = 195,190.56 × 77,783.44
  4. Step 4: Simplify right side
    141,446.08x = 15,182,593,212.33
  5. Step 5: Solve for x
    x = 15,182,593,212.33/141,446.08
  6. Step 6: Final answer
    x = 107,338.38

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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.