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Finding the Fourth Proportional to 227,764.92, 341,530.53 and 133,179.90

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Solution

The fourth proportional to 227,764.92, 341,530.53 and 133,179.90 is: 199,701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,764.92 : 341,530.53 = 133,179.90 : x
  2. Step 2: Convert to fraction form
    227,764.92/341,530.53 = 133,179.90/x
  3. Step 3: Cross multiply
    227,764.92x = 341,530.53 × 133,179.90
  4. Step 4: Simplify right side
    227,764.92x = 45,485,001,832.35
  5. Step 5: Solve for x
    x = 45,485,001,832.35/227,764.92
  6. Step 6: Final answer
    x = 199,701.52

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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.