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Finding the Fourth Proportional to 271,652.96, 407,747.62 and 203,949.52

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Solution

The fourth proportional to 271,652.96, 407,747.62 and 203,949.52 is: 306,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,652.96 : 407,747.62 = 203,949.52 : x
  2. Step 2: Convert to fraction form
    271,652.96/407,747.62 = 203,949.52/x
  3. Step 3: Cross multiply
    271,652.96x = 407,747.62 × 203,949.52
  4. Step 4: Simplify right side
    271,652.96x = 83,159,931,380.14
  5. Step 5: Solve for x
    x = 83,159,931,380.14/271,652.96
  6. Step 6: Final answer
    x = 306,125.62

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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.