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Finding the Fourth Proportional to 206,350.30, 284,741.91 and 121,462.30

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Solution

The fourth proportional to 206,350.30, 284,741.91 and 121,462.30 is: 167,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,350.30 : 284,741.91 = 121,462.30 : x
  2. Step 2: Convert to fraction form
    206,350.30/284,741.91 = 121,462.30/x
  3. Step 3: Cross multiply
    206,350.30x = 284,741.91 × 121,462.30
  4. Step 4: Simplify right side
    206,350.30x = 34,585,407,294.99
  5. Step 5: Solve for x
    x = 34,585,407,294.99/206,350.30
  6. Step 6: Final answer
    x = 167,605.32

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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.