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Finding the Fourth Proportional to 226,562, 339,376.38 and 132,841.76

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Solution

The fourth proportional to 226,562, 339,376.38 and 132,841.76 is: 198,989.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,562 : 339,376.38 = 132,841.76 : x
  2. Step 2: Convert to fraction form
    226,562/339,376.38 = 132,841.76/x
  3. Step 3: Cross multiply
    226,562x = 339,376.38 × 132,841.76
  4. Step 4: Simplify right side
    226,562x = 45,083,355,621.63
  5. Step 5: Solve for x
    x = 45,083,355,621.63/226,562
  6. Step 6: Final answer
    x = 198,989.04

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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.