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Finding the Fourth Proportional to 133,093, 199,527.72 and 54,263.80

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Solution

The fourth proportional to 133,093, 199,527.72 and 54,263.80 is: 81,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,093 : 199,527.72 = 54,263.80 : x
  2. Step 2: Convert to fraction form
    133,093/199,527.72 = 54,263.80/x
  3. Step 3: Cross multiply
    133,093x = 199,527.72 × 54,263.80
  4. Step 4: Simplify right side
    133,093x = 10,827,132,292.54
  5. Step 5: Solve for x
    x = 10,827,132,292.54/133,093
  6. Step 6: Final answer
    x = 81,350.13

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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.