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Finding the Fourth Proportional to 159,997.50, 240,035.13 and 49,189.50

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Solution

The fourth proportional to 159,997.50, 240,035.13 and 49,189.50 is: 73,796.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,997.50 : 240,035.13 = 49,189.50 : x
  2. Step 2: Convert to fraction form
    159,997.50/240,035.13 = 49,189.50/x
  3. Step 3: Cross multiply
    159,997.50x = 240,035.13 × 49,189.50
  4. Step 4: Simplify right side
    159,997.50x = 11,807,208,027.14
  5. Step 5: Solve for x
    x = 11,807,208,027.14/159,997.50
  6. Step 6: Final answer
    x = 73,796.20

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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.