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Finding the Fourth Proportional to 111,156.80, 166,738.16 and 36,281.48

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Solution

The fourth proportional to 111,156.80, 166,738.16 and 36,281.48 is: 54,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,156.80 : 166,738.16 = 36,281.48 : x
  2. Step 2: Convert to fraction form
    111,156.80/166,738.16 = 36,281.48/x
  3. Step 3: Cross multiply
    111,156.80x = 166,738.16 × 36,281.48
  4. Step 4: Simplify right side
    111,156.80x = 6,049,507,217.28
  5. Step 5: Solve for x
    x = 6,049,507,217.28/111,156.80
  6. Step 6: Final answer
    x = 54,423.19

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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.