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Finding the Fourth Proportional to 141,813.27, 195,706.41 and 78,155.17

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Solution

The fourth proportional to 141,813.27, 195,706.41 and 78,155.17 is: 107,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,813.27 : 195,706.41 = 78,155.17 : x
  2. Step 2: Convert to fraction form
    141,813.27/195,706.41 = 78,155.17/x
  3. Step 3: Cross multiply
    141,813.27x = 195,706.41 × 78,155.17
  4. Step 4: Simplify right side
    141,813.27x = 15,295,466,765.11
  5. Step 5: Solve for x
    x = 15,295,466,765.11/141,813.27
  6. Step 6: Final answer
    x = 107,856.39

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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.