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Finding the Fourth Proportional to 141,906.78, 195,828.39 and 78,244.74

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Solution

The fourth proportional to 141,906.78, 195,828.39 and 78,244.74 is: 107,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,906.78 : 195,828.39 = 78,244.74 : x
  2. Step 2: Convert to fraction form
    141,906.78/195,828.39 = 78,244.74/x
  3. Step 3: Cross multiply
    141,906.78x = 195,828.39 × 78,244.74
  4. Step 4: Simplify right side
    141,906.78x = 15,322,541,460.17
  5. Step 5: Solve for x
    x = 15,322,541,460.17/141,906.78
  6. Step 6: Final answer
    x = 107,976.11

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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.