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Finding the Fourth Proportional to 95,893.20, 143,731.80 and 45,997.20

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Solution

The fourth proportional to 95,893.20, 143,731.80 and 45,997.20 is: 68,944.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,893.20 : 143,731.80 = 45,997.20 : x
  2. Step 2: Convert to fraction form
    95,893.20/143,731.80 = 45,997.20/x
  3. Step 3: Cross multiply
    95,893.20x = 143,731.80 × 45,997.20
  4. Step 4: Simplify right side
    95,893.20x = 6,611,260,350.96
  5. Step 5: Solve for x
    x = 6,611,260,350.96/95,893.20
  6. Step 6: Final answer
    x = 68,944.00

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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.