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Finding the Fourth Proportional to 116,722.64, 175,082.44 and 53,524.80

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Solution

The fourth proportional to 116,722.64, 175,082.44 and 53,524.80 is: 80,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,722.64 : 175,082.44 = 53,524.80 : x
  2. Step 2: Convert to fraction form
    116,722.64/175,082.44 = 53,524.80/x
  3. Step 3: Cross multiply
    116,722.64x = 175,082.44 × 53,524.80
  4. Step 4: Simplify right side
    116,722.64x = 9,371,252,584.51
  5. Step 5: Solve for x
    x = 9,371,252,584.51/116,722.64
  6. Step 6: Final answer
    x = 80,286.50

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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.