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Finding the Fourth Proportional to 196,903.13, 295,375.22 and 75,323.43

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Solution

The fourth proportional to 196,903.13, 295,375.22 and 75,323.43 is: 112,992.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,903.13 : 295,375.22 = 75,323.43 : x
  2. Step 2: Convert to fraction form
    196,903.13/295,375.22 = 75,323.43/x
  3. Step 3: Cross multiply
    196,903.13x = 295,375.22 × 75,323.43
  4. Step 4: Simplify right side
    196,903.13x = 22,248,672,947.60
  5. Step 5: Solve for x
    x = 22,248,672,947.60/196,903.13
  6. Step 6: Final answer
    x = 112,992.99

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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.