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Finding the Fourth Proportional to 204,488.74, 306,873.23 and 71,369.00

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Solution

The fourth proportional to 204,488.74, 306,873.23 and 71,369.00 is: 107,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,488.74 : 306,873.23 = 71,369.00 : x
  2. Step 2: Convert to fraction form
    204,488.74/306,873.23 = 71,369.00/x
  3. Step 3: Cross multiply
    204,488.74x = 306,873.23 × 71,369.00
  4. Step 4: Simplify right side
    204,488.74x = 21,901,234,961.98
  5. Step 5: Solve for x
    x = 21,901,234,961.98/204,488.74
  6. Step 6: Final answer
    x = 107,102.40

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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.