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Finding the Fourth Proportional to 95,755.42, 143,498.69 and 75,676.63

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Solution

The fourth proportional to 95,755.42, 143,498.69 and 75,676.63 is: 113,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,755.42 : 143,498.69 = 75,676.63 : x
  2. Step 2: Convert to fraction form
    95,755.42/143,498.69 = 75,676.63/x
  3. Step 3: Cross multiply
    95,755.42x = 143,498.69 × 75,676.63
  4. Step 4: Simplify right side
    95,755.42x = 10,859,497,268.61
  5. Step 5: Solve for x
    x = 10,859,497,268.61/95,755.42
  6. Step 6: Final answer
    x = 113,408.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.