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Finding the Fourth Proportional to 206,088.54, 309,177.16 and 63,930.98

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Solution

The fourth proportional to 206,088.54, 309,177.16 and 63,930.98 is: 95,910.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,088.54 : 309,177.16 = 63,930.98 : x
  2. Step 2: Convert to fraction form
    206,088.54/309,177.16 = 63,930.98/x
  3. Step 3: Cross multiply
    206,088.54x = 309,177.16 × 63,930.98
  4. Step 4: Simplify right side
    206,088.54x = 19,765,998,832.42
  5. Step 5: Solve for x
    x = 19,765,998,832.42/206,088.54
  6. Step 6: Final answer
    x = 95,910.23

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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.