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Finding the Fourth Proportional to 189,713.66, 284,963.61 and 150,546.38

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Solution

The fourth proportional to 189,713.66, 284,963.61 and 150,546.38 is: 226,131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,713.66 : 284,963.61 = 150,546.38 : x
  2. Step 2: Convert to fraction form
    189,713.66/284,963.61 = 150,546.38/x
  3. Step 3: Cross multiply
    189,713.66x = 284,963.61 × 150,546.38
  4. Step 4: Simplify right side
    189,713.66x = 42,900,239,917.23
  5. Step 5: Solve for x
    x = 42,900,239,917.23/189,713.66
  6. Step 6: Final answer
    x = 226,131.53

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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.