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Finding the Fourth Proportional to 167,456.56, 231,058.36 and 103,810

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Solution

The fourth proportional to 167,456.56, 231,058.36 and 103,810 is: 143,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,456.56 : 231,058.36 = 103,810 : x
  2. Step 2: Convert to fraction form
    167,456.56/231,058.36 = 103,810/x
  3. Step 3: Cross multiply
    167,456.56x = 231,058.36 × 103,810
  4. Step 4: Simplify right side
    167,456.56x = 23,986,168,351.60
  5. Step 5: Solve for x
    x = 23,986,168,351.60/167,456.56
  6. Step 6: Final answer
    x = 143,238.15

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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.