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Finding the Fourth Proportional to 141,863.49, 195,772.98 and 78,203.58

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Solution

The fourth proportional to 141,863.49, 195,772.98 and 78,203.58 is: 107,921.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,863.49 : 195,772.98 = 78,203.58 : x
  2. Step 2: Convert to fraction form
    141,863.49/195,772.98 = 78,203.58/x
  3. Step 3: Cross multiply
    141,863.49x = 195,772.98 × 78,203.58
  4. Step 4: Simplify right side
    141,863.49x = 15,310,147,903.27
  5. Step 5: Solve for x
    x = 15,310,147,903.27/141,863.49
  6. Step 6: Final answer
    x = 107,921.69

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1.5x scale

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.