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Finding the Fourth Proportional to 140,816.98, 210,906.33 and 98,884.90

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Solution

The fourth proportional to 140,816.98, 210,906.33 and 98,884.90 is: 148,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,816.98 : 210,906.33 = 98,884.90 : x
  2. Step 2: Convert to fraction form
    140,816.98/210,906.33 = 98,884.90/x
  3. Step 3: Cross multiply
    140,816.98x = 210,906.33 × 98,884.90
  4. Step 4: Simplify right side
    140,816.98x = 20,855,451,351.42
  5. Step 5: Solve for x
    x = 20,855,451,351.42/140,816.98
  6. Step 6: Final answer
    x = 148,103.24

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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.