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Finding the Fourth Proportional to 164,052, 246,101.76 and 51,694.20

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Solution

The fourth proportional to 164,052, 246,101.76 and 51,694.20 is: 77,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,052 : 246,101.76 = 51,694.20 : x
  2. Step 2: Convert to fraction form
    164,052/246,101.76 = 51,694.20/x
  3. Step 3: Cross multiply
    164,052x = 246,101.76 × 51,694.20
  4. Step 4: Simplify right side
    164,052x = 12,722,033,601.79
  5. Step 5: Solve for x
    x = 12,722,033,601.79/164,052
  6. Step 6: Final answer
    x = 77,548.79

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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.