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Finding the Fourth Proportional to 206,187.99, 284,525.06 and 114,306.37

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Solution

The fourth proportional to 206,187.99, 284,525.06 and 114,306.37 is: 157,734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,187.99 : 284,525.06 = 114,306.37 : x
  2. Step 2: Convert to fraction form
    206,187.99/284,525.06 = 114,306.37/x
  3. Step 3: Cross multiply
    206,187.99x = 284,525.06 × 114,306.37
  4. Step 4: Simplify right side
    206,187.99x = 32,523,024,788.48
  5. Step 5: Solve for x
    x = 32,523,024,788.48/206,187.99
  6. Step 6: Final answer
    x = 157,734.82

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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.