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Finding the Fourth Proportional to 227,958.72, 341,976.96 and 101,644.80

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Solution

The fourth proportional to 227,958.72, 341,976.96 and 101,644.80 is: 152,484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,958.72 : 341,976.96 = 101,644.80 : x
  2. Step 2: Convert to fraction form
    227,958.72/341,976.96 = 101,644.80/x
  3. Step 3: Cross multiply
    227,958.72x = 341,976.96 × 101,644.80
  4. Step 4: Simplify right side
    227,958.72x = 34,760,179,703.81
  5. Step 5: Solve for x
    x = 34,760,179,703.81/227,958.72
  6. Step 6: Final answer
    x = 152,484.54

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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.