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Finding the Fourth Proportional to 133,487.92, 200,226.70 and 49,211.63

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Solution

The fourth proportional to 133,487.92, 200,226.70 and 49,211.63 is: 73,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,487.92 : 200,226.70 = 49,211.63 : x
  2. Step 2: Convert to fraction form
    133,487.92/200,226.70 = 49,211.63/x
  3. Step 3: Cross multiply
    133,487.92x = 200,226.70 × 49,211.63
  4. Step 4: Simplify right side
    133,487.92x = 9,853,482,276.52
  5. Step 5: Solve for x
    x = 9,853,482,276.52/133,487.92
  6. Step 6: Final answer
    x = 73,815.54

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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.