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Finding the Fourth Proportional to 311,932.82, 467,902.87 and 109,533.94

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Solution

The fourth proportional to 311,932.82, 467,902.87 and 109,533.94 is: 164,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,932.82 : 467,902.87 = 109,533.94 : x
  2. Step 2: Convert to fraction form
    311,932.82/467,902.87 = 109,533.94/x
  3. Step 3: Cross multiply
    311,932.82x = 467,902.87 × 109,533.94
  4. Step 4: Simplify right side
    311,932.82x = 51,251,243,444.82
  5. Step 5: Solve for x
    x = 51,251,243,444.82/311,932.82
  6. Step 6: Final answer
    x = 164,302.18

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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.