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Finding the Fourth Proportional to 206,399.72, 284,890.56 and 121,565.72

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Solution

The fourth proportional to 206,399.72, 284,890.56 and 121,565.72 is: 167,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,399.72 : 284,890.56 = 121,565.72 : x
  2. Step 2: Convert to fraction form
    206,399.72/284,890.56 = 121,565.72/x
  3. Step 3: Cross multiply
    206,399.72x = 284,890.56 × 121,565.72
  4. Step 4: Simplify right side
    206,399.72x = 34,632,926,047.60
  5. Step 5: Solve for x
    x = 34,632,926,047.60/206,399.72
  6. Step 6: Final answer
    x = 167,795.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.