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Finding the Fourth Proportional to 206,882.37, 285,480 and 116,231.22

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Solution

The fourth proportional to 206,882.37, 285,480 and 116,231.22 is: 160,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,882.37 : 285,480 = 116,231.22 : x
  2. Step 2: Convert to fraction form
    206,882.37/285,480 = 116,231.22/x
  3. Step 3: Cross multiply
    206,882.37x = 285,480 × 116,231.22
  4. Step 4: Simplify right side
    206,882.37x = 33,181,688,685.60
  5. Step 5: Solve for x
    x = 33,181,688,685.60/206,882.37
  6. Step 6: Final answer
    x = 160,389.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.