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Finding the Fourth Proportional to 214,824.36, 322,226.82 and 74,593.92

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Solution

The fourth proportional to 214,824.36, 322,226.82 and 74,593.92 is: 111,887.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,824.36 : 322,226.82 = 74,593.92 : x
  2. Step 2: Convert to fraction form
    214,824.36/322,226.82 = 74,593.92/x
  3. Step 3: Cross multiply
    214,824.36x = 322,226.82 × 74,593.92
  4. Step 4: Simplify right side
    214,824.36x = 24,036,161,632.93
  5. Step 5: Solve for x
    x = 24,036,161,632.93/214,824.36
  6. Step 6: Final answer
    x = 111,887.50

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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.