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Finding the Fourth Proportional to 206,391.26, 284,803.34 and 114,513.50

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Solution

The fourth proportional to 206,391.26, 284,803.34 and 114,513.50 is: 158,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,391.26 : 284,803.34 = 114,513.50 : x
  2. Step 2: Convert to fraction form
    206,391.26/284,803.34 = 114,513.50/x
  3. Step 3: Cross multiply
    206,391.26x = 284,803.34 × 114,513.50
  4. Step 4: Simplify right side
    206,391.26x = 32,613,827,275.09
  5. Step 5: Solve for x
    x = 32,613,827,275.09/206,391.26
  6. Step 6: Final answer
    x = 158,019.42

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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.