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Finding the Fourth Proportional to 198,246.40, 273,455.56 and 117,616.84

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Solution

The fourth proportional to 198,246.40, 273,455.56 and 117,616.84 is: 162,237.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,246.40 : 273,455.56 = 117,616.84 : x
  2. Step 2: Convert to fraction form
    198,246.40/273,455.56 = 117,616.84/x
  3. Step 3: Cross multiply
    198,246.40x = 273,455.56 × 117,616.84
  4. Step 4: Simplify right side
    198,246.40x = 32,162,978,847.63
  5. Step 5: Solve for x
    x = 32,162,978,847.63/198,246.40
  6. Step 6: Final answer
    x = 162,237.39

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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.