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Finding the Fourth Proportional to 114,685.40, 171,687.90 and 85,233.80

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Solution

The fourth proportional to 114,685.40, 171,687.90 and 85,233.80 is: 127,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,685.40 : 171,687.90 = 85,233.80 : x
  2. Step 2: Convert to fraction form
    114,685.40/171,687.90 = 85,233.80/x
  3. Step 3: Cross multiply
    114,685.40x = 171,687.90 × 85,233.80
  4. Step 4: Simplify right side
    114,685.40x = 14,633,612,131.02
  5. Step 5: Solve for x
    x = 14,633,612,131.02/114,685.40
  6. Step 6: Final answer
    x = 127,597.86

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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.