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Finding the Fourth Proportional to 146,251.88, 219,377.81 and 35,443.88

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Solution

The fourth proportional to 146,251.88, 219,377.81 and 35,443.88 is: 53,165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,251.88 : 219,377.81 = 35,443.88 : x
  2. Step 2: Convert to fraction form
    146,251.88/219,377.81 = 35,443.88/x
  3. Step 3: Cross multiply
    146,251.88x = 219,377.81 × 35,443.88
  4. Step 4: Simplify right side
    146,251.88x = 7,775,599,764.02
  5. Step 5: Solve for x
    x = 7,775,599,764.02/146,251.88
  6. Step 6: Final answer
    x = 53,165.81

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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.