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Finding the Fourth Proportional to 144,049.39, 198,758.49 and 82,783.78

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Solution

The fourth proportional to 144,049.39, 198,758.49 and 82,783.78 is: 114,224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,049.39 : 198,758.49 = 82,783.78 : x
  2. Step 2: Convert to fraction form
    144,049.39/198,758.49 = 82,783.78/x
  3. Step 3: Cross multiply
    144,049.39x = 198,758.49 × 82,783.78
  4. Step 4: Simplify right side
    144,049.39x = 16,453,979,109.29
  5. Step 5: Solve for x
    x = 16,453,979,109.29/144,049.39
  6. Step 6: Final answer
    x = 114,224.57

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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.