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Finding the Fourth Proportional to 223,214.41, 334,822.22 and 54,735.49

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Solution

The fourth proportional to 223,214.41, 334,822.22 and 54,735.49 is: 82,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,214.41 : 334,822.22 = 54,735.49 : x
  2. Step 2: Convert to fraction form
    223,214.41/334,822.22 = 54,735.49/x
  3. Step 3: Cross multiply
    223,214.41x = 334,822.22 × 54,735.49
  4. Step 4: Simplify right side
    223,214.41x = 18,326,658,000.91
  5. Step 5: Solve for x
    x = 18,326,658,000.91/223,214.41
  6. Step 6: Final answer
    x = 82,103.38

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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.