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Finding the Fourth Proportional to 159,593.21, 239,424.82 and 47,282.20

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Solution

The fourth proportional to 159,593.21, 239,424.82 and 47,282.20 is: 70,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,593.21 : 239,424.82 = 47,282.20 : x
  2. Step 2: Convert to fraction form
    159,593.21/239,424.82 = 47,282.20/x
  3. Step 3: Cross multiply
    159,593.21x = 239,424.82 × 47,282.20
  4. Step 4: Simplify right side
    159,593.21x = 11,320,532,224.20
  5. Step 5: Solve for x
    x = 11,320,532,224.20/159,593.21
  6. Step 6: Final answer
    x = 70,933.67

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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.