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Finding the Fourth Proportional to 281,855.38, 388,976.34 and 167,201.91

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Solution

The fourth proportional to 281,855.38, 388,976.34 and 167,201.91 is: 230,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,855.38 : 388,976.34 = 167,201.91 : x
  2. Step 2: Convert to fraction form
    281,855.38/388,976.34 = 167,201.91/x
  3. Step 3: Cross multiply
    281,855.38x = 388,976.34 × 167,201.91
  4. Step 4: Simplify right side
    281,855.38x = 65,037,586,992.81
  5. Step 5: Solve for x
    x = 65,037,586,992.81/281,855.38
  6. Step 6: Final answer
    x = 230,748.08

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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.