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Finding the Fourth Proportional to 206,242.35, 284,082.06 and 145,707.92

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Solution

The fourth proportional to 206,242.35, 284,082.06 and 145,707.92 is: 200,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,242.35 : 284,082.06 = 145,707.92 : x
  2. Step 2: Convert to fraction form
    206,242.35/284,082.06 = 145,707.92/x
  3. Step 3: Cross multiply
    206,242.35x = 284,082.06 × 145,707.92
  4. Step 4: Simplify right side
    206,242.35x = 41,393,004,651.50
  5. Step 5: Solve for x
    x = 41,393,004,651.50/206,242.35
  6. Step 6: Final answer
    x = 200,700.80

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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.