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Finding the Fourth Proportional to 206,225.24, 284,614.44 and 115,605.68

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Solution

The fourth proportional to 206,225.24, 284,614.44 and 115,605.68 is: 159,549.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,225.24 : 284,614.44 = 115,605.68 : x
  2. Step 2: Convert to fraction form
    206,225.24/284,614.44 = 115,605.68/x
  3. Step 3: Cross multiply
    206,225.24x = 284,614.44 × 115,605.68
  4. Step 4: Simplify right side
    206,225.24x = 32,903,045,874.02
  5. Step 5: Solve for x
    x = 32,903,045,874.02/206,225.24
  6. Step 6: Final answer
    x = 159,549.07

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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.