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Finding the Fourth Proportional to 214,850.34, 322,278.75 and 74,612.34

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Solution

The fourth proportional to 214,850.34, 322,278.75 and 74,612.34 is: 111,919.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,850.34 : 322,278.75 = 74,612.34 : x
  2. Step 2: Convert to fraction form
    214,850.34/322,278.75 = 74,612.34/x
  3. Step 3: Cross multiply
    214,850.34x = 322,278.75 × 74,612.34
  4. Step 4: Simplify right side
    214,850.34x = 24,045,971,669.78
  5. Step 5: Solve for x
    x = 24,045,971,669.78/214,850.34
  6. Step 6: Final answer
    x = 111,919.64

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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.