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Finding the Fourth Proportional to 215,304, 323,021.76 and 110,197.44

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Solution

The fourth proportional to 215,304, 323,021.76 and 110,197.44 is: 165,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,304 : 323,021.76 = 110,197.44 : x
  2. Step 2: Convert to fraction form
    215,304/323,021.76 = 110,197.44/x
  3. Step 3: Cross multiply
    215,304x = 323,021.76 × 110,197.44
  4. Step 4: Simplify right side
    215,304x = 35,596,171,016.29
  5. Step 5: Solve for x
    x = 35,596,171,016.29/215,304
  6. Step 6: Final answer
    x = 165,329.82

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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.