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Finding the Fourth Proportional to 204,203.92, 306,105.88 and 114,290.54

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Solution

The fourth proportional to 204,203.92, 306,105.88 and 114,290.54 is: 171,323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,203.92 : 306,105.88 = 114,290.54 : x
  2. Step 2: Convert to fraction form
    204,203.92/306,105.88 = 114,290.54/x
  3. Step 3: Cross multiply
    204,203.92x = 306,105.88 × 114,290.54
  4. Step 4: Simplify right side
    204,203.92x = 34,985,006,322.38
  5. Step 5: Solve for x
    x = 34,985,006,322.38/204,203.92
  6. Step 6: Final answer
    x = 171,323.87

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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.