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Finding the Fourth Proportional to 141,334.88, 195,042.13 and 77,676.77

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Solution

The fourth proportional to 141,334.88, 195,042.13 and 77,676.77 is: 107,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,334.88 : 195,042.13 = 77,676.77 : x
  2. Step 2: Convert to fraction form
    141,334.88/195,042.13 = 77,676.77/x
  3. Step 3: Cross multiply
    141,334.88x = 195,042.13 × 77,676.77
  4. Step 4: Simplify right side
    141,334.88x = 15,150,242,965.73
  5. Step 5: Solve for x
    x = 15,150,242,965.73/141,334.88
  6. Step 6: Final answer
    x = 107,193.95

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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.