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Finding the Fourth Proportional to 198,106.22, 273,385.68 and 107,462.22

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Solution

The fourth proportional to 198,106.22, 273,385.68 and 107,462.22 is: 148,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,106.22 : 273,385.68 = 107,462.22 : x
  2. Step 2: Convert to fraction form
    198,106.22/273,385.68 = 107,462.22/x
  3. Step 3: Cross multiply
    198,106.22x = 273,385.68 × 107,462.22
  4. Step 4: Simplify right side
    198,106.22x = 29,378,632,089.01
  5. Step 5: Solve for x
    x = 29,378,632,089.01/198,106.22
  6. Step 6: Final answer
    x = 148,297.38

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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.