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Finding the Fourth Proportional to 159,282, 238,923 and 48,474

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Solution

The fourth proportional to 159,282, 238,923 and 48,474 is: 72,711

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,282 : 238,923 = 48,474 : x
  2. Step 2: Convert to fraction form
    159,282/238,923 = 48,474/x
  3. Step 3: Cross multiply
    159,282x = 238,923 × 48,474
  4. Step 4: Simplify right side
    159,282x = 11,581,553,502
  5. Step 5: Solve for x
    x = 11,581,553,502/159,282
  6. Step 6: Final answer
    x = 72,711

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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.