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Finding the Fourth Proportional to 232,736.80, 349,105.20 and 209,117.20

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Solution

The fourth proportional to 232,736.80, 349,105.20 and 209,117.20 is: 313,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,736.80 : 349,105.20 = 209,117.20 : x
  2. Step 2: Convert to fraction form
    232,736.80/349,105.20 = 209,117.20/x
  3. Step 3: Cross multiply
    232,736.80x = 349,105.20 × 209,117.20
  4. Step 4: Simplify right side
    232,736.80x = 73,003,901,929.44
  5. Step 5: Solve for x
    x = 73,003,901,929.44/232,736.80
  6. Step 6: Final answer
    x = 313,675.80

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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.