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Finding the Fourth Proportional to 133,588.81, 200,383.22 and 33,749.29

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Solution

The fourth proportional to 133,588.81, 200,383.22 and 33,749.29 is: 50,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,588.81 : 200,383.22 = 33,749.29 : x
  2. Step 2: Convert to fraction form
    133,588.81/200,383.22 = 33,749.29/x
  3. Step 3: Cross multiply
    133,588.81x = 200,383.22 × 33,749.29
  4. Step 4: Simplify right side
    133,588.81x = 6,762,791,484.65
  5. Step 5: Solve for x
    x = 6,762,791,484.65/133,588.81
  6. Step 6: Final answer
    x = 50,623.94

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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.