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Finding the Fourth Proportional to 133,221.27, 198,860.04 and 116,406

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Solution

The fourth proportional to 133,221.27, 198,860.04 and 116,406 is: 173,759.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,221.27 : 198,860.04 = 116,406 : x
  2. Step 2: Convert to fraction form
    133,221.27/198,860.04 = 116,406/x
  3. Step 3: Cross multiply
    133,221.27x = 198,860.04 × 116,406
  4. Step 4: Simplify right side
    133,221.27x = 23,148,501,816.24
  5. Step 5: Solve for x
    x = 23,148,501,816.24/133,221.27
  6. Step 6: Final answer
    x = 173,759.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.