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Finding the Fourth Proportional to 136,002.30, 187,679.43 and 75,571.38

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Solution

The fourth proportional to 136,002.30, 187,679.43 and 75,571.38 is: 104,286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,002.30 : 187,679.43 = 75,571.38 : x
  2. Step 2: Convert to fraction form
    136,002.30/187,679.43 = 75,571.38/x
  3. Step 3: Cross multiply
    136,002.30x = 187,679.43 × 75,571.38
  4. Step 4: Simplify right side
    136,002.30x = 14,183,193,522.71
  5. Step 5: Solve for x
    x = 14,183,193,522.71/136,002.30
  6. Step 6: Final answer
    x = 104,286.42

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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.