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Finding the Fourth Proportional to 159,926.21, 239,972.34 and 65,225.87

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Solution

The fourth proportional to 159,926.21, 239,972.34 and 65,225.87 is: 97,872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,926.21 : 239,972.34 = 65,225.87 : x
  2. Step 2: Convert to fraction form
    159,926.21/239,972.34 = 65,225.87/x
  3. Step 3: Cross multiply
    159,926.21x = 239,972.34 × 65,225.87
  4. Step 4: Simplify right side
    159,926.21x = 15,652,404,489.37
  5. Step 5: Solve for x
    x = 15,652,404,489.37/159,926.21
  6. Step 6: Final answer
    x = 97,872.67

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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.