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Finding the Fourth Proportional to 167,862.72, 231,621.12 and 100,796.16

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Solution

The fourth proportional to 167,862.72, 231,621.12 and 100,796.16 is: 139,081.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,862.72 : 231,621.12 = 100,796.16 : x
  2. Step 2: Convert to fraction form
    167,862.72/231,621.12 = 100,796.16/x
  3. Step 3: Cross multiply
    167,862.72x = 231,621.12 × 100,796.16
  4. Step 4: Simplify right side
    167,862.72x = 23,346,519,470.90
  5. Step 5: Solve for x
    x = 23,346,519,470.90/167,862.72
  6. Step 6: Final answer
    x = 139,081.03

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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.