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Finding the Fourth Proportional to 164,252.31, 246,422.32 and 51,934.67

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Solution

The fourth proportional to 164,252.31, 246,422.32 and 51,934.67 is: 77,915.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,252.31 : 246,422.32 = 51,934.67 : x
  2. Step 2: Convert to fraction form
    164,252.31/246,422.32 = 51,934.67/x
  3. Step 3: Cross multiply
    164,252.31x = 246,422.32 × 51,934.67
  4. Step 4: Simplify right side
    164,252.31x = 12,797,861,431.97
  5. Step 5: Solve for x
    x = 12,797,861,431.97/164,252.31
  6. Step 6: Final answer
    x = 77,915.87

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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.