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Finding the Fourth Proportional to 198,209.70, 273,477.60 and 117,655.20

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Solution

The fourth proportional to 198,209.70, 273,477.60 and 117,655.20 is: 162,333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,209.70 : 273,477.60 = 117,655.20 : x
  2. Step 2: Convert to fraction form
    198,209.70/273,477.60 = 117,655.20/x
  3. Step 3: Cross multiply
    198,209.70x = 273,477.60 × 117,655.20
  4. Step 4: Simplify right side
    198,209.70x = 32,176,061,723.52
  5. Step 5: Solve for x
    x = 32,176,061,723.52/198,209.70
  6. Step 6: Final answer
    x = 162,333.44

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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.