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Finding the Fourth Proportional to 198,192, 273,504.96 and 118,704

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Solution

The fourth proportional to 198,192, 273,504.96 and 118,704 is: 163,811.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,192 : 273,504.96 = 118,704 : x
  2. Step 2: Convert to fraction form
    198,192/273,504.96 = 118,704/x
  3. Step 3: Cross multiply
    198,192x = 273,504.96 × 118,704
  4. Step 4: Simplify right side
    198,192x = 32,466,132,771.84
  5. Step 5: Solve for x
    x = 32,466,132,771.84/198,192
  6. Step 6: Final answer
    x = 163,811.52

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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.