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Finding the Fourth Proportional to 223,327.54, 334,794.35 and 82,987.75

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Solution

The fourth proportional to 223,327.54, 334,794.35 and 82,987.75 is: 124,408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,327.54 : 334,794.35 = 82,987.75 : x
  2. Step 2: Convert to fraction form
    223,327.54/334,794.35 = 82,987.75/x
  3. Step 3: Cross multiply
    223,327.54x = 334,794.35 × 82,987.75
  4. Step 4: Simplify right side
    223,327.54x = 27,783,829,404.27
  5. Step 5: Solve for x
    x = 27,783,829,404.27/223,327.54
  6. Step 6: Final answer
    x = 124,408.43

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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.