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Finding the Fourth Proportional to 232,732.80, 349,099.20 and 209,113.20

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Solution

The fourth proportional to 232,732.80, 349,099.20 and 209,113.20 is: 313,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,732.80 : 349,099.20 = 209,113.20 : x
  2. Step 2: Convert to fraction form
    232,732.80/349,099.20 = 209,113.20/x
  3. Step 3: Cross multiply
    232,732.80x = 349,099.20 × 209,113.20
  4. Step 4: Simplify right side
    232,732.80x = 73,001,250,829.44
  5. Step 5: Solve for x
    x = 73,001,250,829.44/232,732.80
  6. Step 6: Final answer
    x = 313,669.80

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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.