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Finding the Fourth Proportional to 214,812.34, 322,221.75 and 74,575.42

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Solution

The fourth proportional to 214,812.34, 322,221.75 and 74,575.42 is: 111,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,812.34 : 322,221.75 = 74,575.42 : x
  2. Step 2: Convert to fraction form
    214,812.34/322,221.75 = 74,575.42/x
  3. Step 3: Cross multiply
    214,812.34x = 322,221.75 × 74,575.42
  4. Step 4: Simplify right side
    214,812.34x = 24,029,822,339.39
  5. Step 5: Solve for x
    x = 24,029,822,339.39/214,812.34
  6. Step 6: Final answer
    x = 111,864.25

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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.