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Finding the Fourth Proportional to 133,207.64, 199,806.84 and 33,368.69

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Solution

The fourth proportional to 133,207.64, 199,806.84 and 33,368.69 is: 50,051.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,207.64 : 199,806.84 = 33,368.69 : x
  2. Step 2: Convert to fraction form
    133,207.64/199,806.84 = 33,368.69/x
  3. Step 3: Cross multiply
    133,207.64x = 199,806.84 × 33,368.69
  4. Step 4: Simplify right side
    133,207.64x = 6,667,291,504.81
  5. Step 5: Solve for x
    x = 6,667,291,504.81/133,207.64
  6. Step 6: Final answer
    x = 50,051.87

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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.