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Finding the Fourth Proportional to 114,372.71, 171,401.28 and 82,529.04

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Solution

The fourth proportional to 114,372.71, 171,401.28 and 82,529.04 is: 123,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,372.71 : 171,401.28 = 82,529.04 : x
  2. Step 2: Convert to fraction form
    114,372.71/171,401.28 = 82,529.04/x
  3. Step 3: Cross multiply
    114,372.71x = 171,401.28 × 82,529.04
  4. Step 4: Simplify right side
    114,372.71x = 14,145,583,093.17
  5. Step 5: Solve for x
    x = 14,145,583,093.17/114,372.71
  6. Step 6: Final answer
    x = 123,679.71

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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.