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Finding the Fourth Proportional to 143,114.92, 214,657.80 and 37,944.52

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Solution

The fourth proportional to 143,114.92, 214,657.80 and 37,944.52 is: 56,912.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,114.92 : 214,657.80 = 37,944.52 : x
  2. Step 2: Convert to fraction form
    143,114.92/214,657.80 = 37,944.52/x
  3. Step 3: Cross multiply
    143,114.92x = 214,657.80 × 37,944.52
  4. Step 4: Simplify right side
    143,114.92x = 8,145,087,185.26
  5. Step 5: Solve for x
    x = 8,145,087,185.26/143,114.92
  6. Step 6: Final answer
    x = 56,912.91

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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.