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Finding the Fourth Proportional to 189,882.99, 284,964.67 and 90,043.52

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Solution

The fourth proportional to 189,882.99, 284,964.67 and 90,043.52 is: 135,131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,882.99 : 284,964.67 = 90,043.52 : x
  2. Step 2: Convert to fraction form
    189,882.99/284,964.67 = 90,043.52/x
  3. Step 3: Cross multiply
    189,882.99x = 284,964.67 × 90,043.52
  4. Step 4: Simplify right side
    189,882.99x = 25,659,221,962.44
  5. Step 5: Solve for x
    x = 25,659,221,962.44/189,882.99
  6. Step 6: Final answer
    x = 135,131.76

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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.