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Finding the Fourth Proportional to 154,609.92, 231,947.98 and 47,991.53

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Solution

The fourth proportional to 154,609.92, 231,947.98 and 47,991.53 is: 71,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,609.92 : 231,947.98 = 47,991.53 : x
  2. Step 2: Convert to fraction form
    154,609.92/231,947.98 = 47,991.53/x
  3. Step 3: Cross multiply
    154,609.92x = 231,947.98 × 47,991.53
  4. Step 4: Simplify right side
    154,609.92x = 11,131,538,900.50
  5. Step 5: Solve for x
    x = 11,131,538,900.50/154,609.92
  6. Step 6: Final answer
    x = 71,997.57

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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.