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Finding the Fourth Proportional to 140,871.20, 194,401.36 and 77,212.96

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Solution

The fourth proportional to 140,871.20, 194,401.36 and 77,212.96 is: 106,553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,871.20 : 194,401.36 = 77,212.96 : x
  2. Step 2: Convert to fraction form
    140,871.20/194,401.36 = 77,212.96/x
  3. Step 3: Cross multiply
    140,871.20x = 194,401.36 × 77,212.96
  4. Step 4: Simplify right side
    140,871.20x = 15,010,304,433.63
  5. Step 5: Solve for x
    x = 15,010,304,433.63/140,871.20
  6. Step 6: Final answer
    x = 106,553.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.