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Finding the Fourth Proportional to 293,722.50, 405,338.13 and 159,586.50

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Solution

The fourth proportional to 293,722.50, 405,338.13 and 159,586.50 is: 220,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,722.50 : 405,338.13 = 159,586.50 : x
  2. Step 2: Convert to fraction form
    293,722.50/405,338.13 = 159,586.50/x
  3. Step 3: Cross multiply
    293,722.50x = 405,338.13 × 159,586.50
  4. Step 4: Simplify right side
    293,722.50x = 64,686,493,483.25
  5. Step 5: Solve for x
    x = 64,686,493,483.25/293,722.50
  6. Step 6: Final answer
    x = 220,229.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.