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Finding the Fourth Proportional to 206,403.00, 309,565.34 and 64,250.04

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Solution

The fourth proportional to 206,403.00, 309,565.34 and 64,250.04 is: 96,362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,403.00 : 309,565.34 = 64,250.04 : x
  2. Step 2: Convert to fraction form
    206,403.00/309,565.34 = 64,250.04/x
  3. Step 3: Cross multiply
    206,403.00x = 309,565.34 × 64,250.04
  4. Step 4: Simplify right side
    206,403.00x = 19,889,586,919.58
  5. Step 5: Solve for x
    x = 19,889,586,919.58/206,403.00
  6. Step 6: Final answer
    x = 96,362.88

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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.