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Finding the Fourth Proportional to 133,571.10, 200,097.45 and 74,300.70

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Solution

The fourth proportional to 133,571.10, 200,097.45 and 74,300.70 is: 111,306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,571.10 : 200,097.45 = 74,300.70 : x
  2. Step 2: Convert to fraction form
    133,571.10/200,097.45 = 74,300.70/x
  3. Step 3: Cross multiply
    133,571.10x = 200,097.45 × 74,300.70
  4. Step 4: Simplify right side
    133,571.10x = 14,867,380,603.22
  5. Step 5: Solve for x
    x = 14,867,380,603.22/133,571.10
  6. Step 6: Final answer
    x = 111,306.87

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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.