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Finding the Fourth Proportional to 133,214.76, 199,900.96 and 49,034.04

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Solution

The fourth proportional to 133,214.76, 199,900.96 and 49,034.04 is: 73,580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,214.76 : 199,900.96 = 49,034.04 : x
  2. Step 2: Convert to fraction form
    133,214.76/199,900.96 = 49,034.04/x
  3. Step 3: Cross multiply
    133,214.76x = 199,900.96 × 49,034.04
  4. Step 4: Simplify right side
    133,214.76x = 9,801,951,668.68
  5. Step 5: Solve for x
    x = 9,801,951,668.68/133,214.76
  6. Step 6: Final answer
    x = 73,580.07

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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.