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Finding the Fourth Proportional to 68,164.41, 102,305.67 and 68,006.79

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Solution

The fourth proportional to 68,164.41, 102,305.67 and 68,006.79 is: 102,069.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,164.41 : 102,305.67 = 68,006.79 : x
  2. Step 2: Convert to fraction form
    68,164.41/102,305.67 = 68,006.79/x
  3. Step 3: Cross multiply
    68,164.41x = 102,305.67 × 68,006.79
  4. Step 4: Simplify right side
    68,164.41x = 6,957,480,215.50
  5. Step 5: Solve for x
    x = 6,957,480,215.50/68,164.41
  6. Step 6: Final answer
    x = 102,069.10

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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.