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Finding the Fourth Proportional to 206,632.23, 285,079.13 and 135,053.54

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Solution

The fourth proportional to 206,632.23, 285,079.13 and 135,053.54 is: 186,325.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,632.23 : 285,079.13 = 135,053.54 : x
  2. Step 2: Convert to fraction form
    206,632.23/285,079.13 = 135,053.54/x
  3. Step 3: Cross multiply
    206,632.23x = 285,079.13 × 135,053.54
  4. Step 4: Simplify right side
    206,632.23x = 38,500,945,161.45
  5. Step 5: Solve for x
    x = 38,500,945,161.45/206,632.23
  6. Step 6: Final answer
    x = 186,325.95

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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.