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Finding the Fourth Proportional to 208,832.80, 313,249.20 and 96,512.80

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Solution

The fourth proportional to 208,832.80, 313,249.20 and 96,512.80 is: 144,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,832.80 : 313,249.20 = 96,512.80 : x
  2. Step 2: Convert to fraction form
    208,832.80/313,249.20 = 96,512.80/x
  3. Step 3: Cross multiply
    208,832.80x = 313,249.20 × 96,512.80
  4. Step 4: Simplify right side
    208,832.80x = 30,232,557,389.76
  5. Step 5: Solve for x
    x = 30,232,557,389.76/208,832.80
  6. Step 6: Final answer
    x = 144,769.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.