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Finding the Fourth Proportional to 133,097.40, 199,791.90 and 83,233.80

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Solution

The fourth proportional to 133,097.40, 199,791.90 and 83,233.80 is: 124,941.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,097.40 : 199,791.90 = 83,233.80 : x
  2. Step 2: Convert to fraction form
    133,097.40/199,791.90 = 83,233.80/x
  3. Step 3: Cross multiply
    133,097.40x = 199,791.90 × 83,233.80
  4. Step 4: Simplify right side
    133,097.40x = 16,629,439,046.22
  5. Step 5: Solve for x
    x = 16,629,439,046.22/133,097.40
  6. Step 6: Final answer
    x = 124,941.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.