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Finding the Fourth Proportional to 147,157.82, 220,738.80 and 41,976.78

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Solution

The fourth proportional to 147,157.82, 220,738.80 and 41,976.78 is: 62,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,157.82 : 220,738.80 = 41,976.78 : x
  2. Step 2: Convert to fraction form
    147,157.82/220,738.80 = 41,976.78/x
  3. Step 3: Cross multiply
    147,157.82x = 220,738.80 × 41,976.78
  4. Step 4: Simplify right side
    147,157.82x = 9,265,903,835.18
  5. Step 5: Solve for x
    x = 9,265,903,835.18/147,157.82
  6. Step 6: Final answer
    x = 62,965.76

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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.