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Finding the Fourth Proportional to 501,213.96, 751,853.79 and 146,198.25

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Solution

The fourth proportional to 501,213.96, 751,853.79 and 146,198.25 is: 219,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,213.96 : 751,853.79 = 146,198.25 : x
  2. Step 2: Convert to fraction form
    501,213.96/751,853.79 = 146,198.25/x
  3. Step 3: Cross multiply
    501,213.96x = 751,853.79 × 146,198.25
  4. Step 4: Simplify right side
    501,213.96x = 109,919,708,353.87
  5. Step 5: Solve for x
    x = 109,919,708,353.87/501,213.96
  6. Step 6: Final answer
    x = 219,306.96

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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.