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Finding the Fourth Proportional to 140,497.20, 210,745.80 and 81,448.20

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Solution

The fourth proportional to 140,497.20, 210,745.80 and 81,448.20 is: 122,172.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,497.20 : 210,745.80 = 81,448.20 : x
  2. Step 2: Convert to fraction form
    140,497.20/210,745.80 = 81,448.20/x
  3. Step 3: Cross multiply
    140,497.20x = 210,745.80 × 81,448.20
  4. Step 4: Simplify right side
    140,497.20x = 17,164,866,067.56
  5. Step 5: Solve for x
    x = 17,164,866,067.56/140,497.20
  6. Step 6: Final answer
    x = 122,172.30

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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.