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Finding the Fourth Proportional to 133,814.69, 200,722.10 and 40,320.44

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Solution

The fourth proportional to 133,814.69, 200,722.10 and 40,320.44 is: 60,480.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,814.69 : 200,722.10 = 40,320.44 : x
  2. Step 2: Convert to fraction form
    133,814.69/200,722.10 = 40,320.44/x
  3. Step 3: Cross multiply
    133,814.69x = 200,722.10 × 40,320.44
  4. Step 4: Simplify right side
    133,814.69x = 8,093,202,184.51
  5. Step 5: Solve for x
    x = 8,093,202,184.51/133,814.69
  6. Step 6: Final answer
    x = 60,480.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.