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Finding the Fourth Proportional to 141,906.84, 195,832.80 and 78,246.96

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Solution

The fourth proportional to 141,906.84, 195,832.80 and 78,246.96 is: 107,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,906.84 : 195,832.80 = 78,246.96 : x
  2. Step 2: Convert to fraction form
    141,906.84/195,832.80 = 78,246.96/x
  3. Step 3: Cross multiply
    141,906.84x = 195,832.80 × 78,246.96
  4. Step 4: Simplify right side
    141,906.84x = 15,323,321,268.29
  5. Step 5: Solve for x
    x = 15,323,321,268.29/141,906.84
  6. Step 6: Final answer
    x = 107,981.56

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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.