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Finding the Fourth Proportional to 114,309.46, 171,529 and 61,717.78

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Solution

The fourth proportional to 114,309.46, 171,529 and 61,717.78 is: 92,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,309.46 : 171,529 = 61,717.78 : x
  2. Step 2: Convert to fraction form
    114,309.46/171,529 = 61,717.78/x
  3. Step 3: Cross multiply
    114,309.46x = 171,529 × 61,717.78
  4. Step 4: Simplify right side
    114,309.46x = 10,586,389,085.62
  5. Step 5: Solve for x
    x = 10,586,389,085.62/114,309.46
  6. Step 6: Final answer
    x = 92,611.66

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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.