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Finding the Fourth Proportional to 212,952.12, 319,625 and 107,844.90

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Solution

The fourth proportional to 212,952.12, 319,625 and 107,844.90 is: 161,867.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,952.12 : 319,625 = 107,844.90 : x
  2. Step 2: Convert to fraction form
    212,952.12/319,625 = 107,844.90/x
  3. Step 3: Cross multiply
    212,952.12x = 319,625 × 107,844.90
  4. Step 4: Simplify right side
    212,952.12x = 34,469,926,162.50
  5. Step 5: Solve for x
    x = 34,469,926,162.50/212,952.12
  6. Step 6: Final answer
    x = 161,867.03

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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.