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Finding the Fourth Proportional to 159,082, 238,624.44 and 48,274

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Solution

The fourth proportional to 159,082, 238,624.44 and 48,274 is: 72,411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,082 : 238,624.44 = 48,274 : x
  2. Step 2: Convert to fraction form
    159,082/238,624.44 = 48,274/x
  3. Step 3: Cross multiply
    159,082x = 238,624.44 × 48,274
  4. Step 4: Simplify right side
    159,082x = 11,519,356,216.56
  5. Step 5: Solve for x
    x = 11,519,356,216.56/159,082
  6. Step 6: Final answer
    x = 72,411.44

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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.