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Finding the Fourth Proportional to 159,277, 238,915.50 and 48,469

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Solution

The fourth proportional to 159,277, 238,915.50 and 48,469 is: 72,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,277 : 238,915.50 = 48,469 : x
  2. Step 2: Convert to fraction form
    159,277/238,915.50 = 48,469/x
  3. Step 3: Cross multiply
    159,277x = 238,915.50 × 48,469
  4. Step 4: Simplify right side
    159,277x = 11,579,995,369.50
  5. Step 5: Solve for x
    x = 11,579,995,369.50/159,277
  6. Step 6: Final answer
    x = 72,703.50

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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.