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Finding the Fourth Proportional to 376,105.33, 564,251.37 and 186,654.61

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Solution

The fourth proportional to 376,105.33, 564,251.37 and 186,654.61 is: 280,028.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,105.33 : 564,251.37 = 186,654.61 : x
  2. Step 2: Convert to fraction form
    376,105.33/564,251.37 = 186,654.61/x
  3. Step 3: Cross multiply
    376,105.33x = 564,251.37 × 186,654.61
  4. Step 4: Simplify right side
    376,105.33x = 105,320,119,409.32
  5. Step 5: Solve for x
    x = 105,320,119,409.32/376,105.33
  6. Step 6: Final answer
    x = 280,028.26

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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.