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Finding the Fourth Proportional to 237,892, 356,976.24 and 106,564

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Solution

The fourth proportional to 237,892, 356,976.24 and 106,564 is: 159,907.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,892 : 356,976.24 = 106,564 : x
  2. Step 2: Convert to fraction form
    237,892/356,976.24 = 106,564/x
  3. Step 3: Cross multiply
    237,892x = 356,976.24 × 106,564
  4. Step 4: Simplify right side
    237,892x = 38,040,816,039.36
  5. Step 5: Solve for x
    x = 38,040,816,039.36/237,892
  6. Step 6: Final answer
    x = 159,907.92

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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.