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Finding the Fourth Proportional to 263,808.08, 364,061.84 and 161,889.83

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Solution

The fourth proportional to 263,808.08, 364,061.84 and 161,889.83 is: 223,412.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,808.08 : 364,061.84 = 161,889.83 : x
  2. Step 2: Convert to fraction form
    263,808.08/364,061.84 = 161,889.83/x
  3. Step 3: Cross multiply
    263,808.08x = 364,061.84 × 161,889.83
  4. Step 4: Simplify right side
    263,808.08x = 58,937,906,757.33
  5. Step 5: Solve for x
    x = 58,937,906,757.33/263,808.08
  6. Step 6: Final answer
    x = 223,412.06

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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.