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Finding the Fourth Proportional to 167,475.80, 231,058.44 and 107,081.80

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Solution

The fourth proportional to 167,475.80, 231,058.44 and 107,081.80 is: 147,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,475.80 : 231,058.44 = 107,081.80 : x
  2. Step 2: Convert to fraction form
    167,475.80/231,058.44 = 107,081.80/x
  3. Step 3: Cross multiply
    167,475.80x = 231,058.44 × 107,081.80
  4. Step 4: Simplify right side
    167,475.80x = 24,742,153,082.75
  5. Step 5: Solve for x
    x = 24,742,153,082.75/167,475.80
  6. Step 6: Final answer
    x = 147,735.69

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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.