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Finding the Fourth Proportional to 232,871.60, 349,729.80 and 203,841.20

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Solution

The fourth proportional to 232,871.60, 349,729.80 and 203,841.20 is: 306,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,871.60 : 349,729.80 = 203,841.20 : x
  2. Step 2: Convert to fraction form
    232,871.60/349,729.80 = 203,841.20/x
  3. Step 3: Cross multiply
    232,871.60x = 349,729.80 × 203,841.20
  4. Step 4: Simplify right side
    232,871.60x = 71,289,342,107.76
  5. Step 5: Solve for x
    x = 71,289,342,107.76/232,871.60
  6. Step 6: Final answer
    x = 306,131.54

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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.