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Finding the Fourth Proportional to 204,565.08, 306,895.90 and 64,323.71

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Solution

The fourth proportional to 204,565.08, 306,895.90 and 64,323.71 is: 96,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,565.08 : 306,895.90 = 64,323.71 : x
  2. Step 2: Convert to fraction form
    204,565.08/306,895.90 = 64,323.71/x
  3. Step 3: Cross multiply
    204,565.08x = 306,895.90 × 64,323.71
  4. Step 4: Simplify right side
    204,565.08x = 19,740,682,871.79
  5. Step 5: Solve for x
    x = 19,740,682,871.79/204,565.08
  6. Step 6: Final answer
    x = 96,500.75

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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.