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Finding the Fourth Proportional to 141,910.56, 195,870.69 and 85,311

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Solution

The fourth proportional to 141,910.56, 195,870.69 and 85,311 is: 117,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,910.56 : 195,870.69 = 85,311 : x
  2. Step 2: Convert to fraction form
    141,910.56/195,870.69 = 85,311/x
  3. Step 3: Cross multiply
    141,910.56x = 195,870.69 × 85,311
  4. Step 4: Simplify right side
    141,910.56x = 16,709,924,434.59
  5. Step 5: Solve for x
    x = 16,709,924,434.59/141,910.56
  6. Step 6: Final answer
    x = 117,749.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.