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Finding the Fourth Proportional to 141,516.95, 195,286.34 and 77,853.11

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Solution

The fourth proportional to 141,516.95, 195,286.34 and 77,853.11 is: 107,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,516.95 : 195,286.34 = 77,853.11 : x
  2. Step 2: Convert to fraction form
    141,516.95/195,286.34 = 77,853.11/x
  3. Step 3: Cross multiply
    141,516.95x = 195,286.34 × 77,853.11
  4. Step 4: Simplify right side
    141,516.95x = 15,203,648,520.25
  5. Step 5: Solve for x
    x = 15,203,648,520.25/141,516.95
  6. Step 6: Final answer
    x = 107,433.41

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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.