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Finding the Fourth Proportional to 167,842.83, 251,704.28 and 55,502.31

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Solution

The fourth proportional to 167,842.83, 251,704.28 and 55,502.31 is: 83,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,842.83 : 251,704.28 = 55,502.31 : x
  2. Step 2: Convert to fraction form
    167,842.83/251,704.28 = 55,502.31/x
  3. Step 3: Cross multiply
    167,842.83x = 251,704.28 × 55,502.31
  4. Step 4: Simplify right side
    167,842.83x = 13,970,168,976.89
  5. Step 5: Solve for x
    x = 13,970,168,976.89/167,842.83
  6. Step 6: Final answer
    x = 83,233.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.