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Finding the Fourth Proportional to 101,846.08, 152,778 and 41,878.20

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Solution

The fourth proportional to 101,846.08, 152,778 and 41,878.20 is: 62,820.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,846.08 : 152,778 = 41,878.20 : x
  2. Step 2: Convert to fraction form
    101,846.08/152,778 = 41,878.20/x
  3. Step 3: Cross multiply
    101,846.08x = 152,778 × 41,878.20
  4. Step 4: Simplify right side
    101,846.08x = 6,398,067,257.66
  5. Step 5: Solve for x
    x = 6,398,067,257.66/101,846.08
  6. Step 6: Final answer
    x = 62,820.95

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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.