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Finding the Fourth Proportional to 206,224.24, 284,613.06 and 115,604.68

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Solution

The fourth proportional to 206,224.24, 284,613.06 and 115,604.68 is: 159,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,224.24 : 284,613.06 = 115,604.68 : x
  2. Step 2: Convert to fraction form
    206,224.24/284,613.06 = 115,604.68/x
  3. Step 3: Cross multiply
    206,224.24x = 284,613.06 × 115,604.68
  4. Step 4: Simplify right side
    206,224.24x = 32,902,601,725.12
  5. Step 5: Solve for x
    x = 32,902,601,725.12/206,224.24
  6. Step 6: Final answer
    x = 159,547.69

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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.