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Finding the Fourth Proportional to 133,358.70, 200,194.34 and 105,297.67

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Solution

The fourth proportional to 133,358.70, 200,194.34 and 105,297.67 is: 158,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,358.70 : 200,194.34 = 105,297.67 : x
  2. Step 2: Convert to fraction form
    133,358.70/200,194.34 = 105,297.67/x
  3. Step 3: Cross multiply
    133,358.70x = 200,194.34 × 105,297.67
  4. Step 4: Simplify right side
    133,358.70x = 21,079,997,272.94
  5. Step 5: Solve for x
    x = 21,079,997,272.94/133,358.70
  6. Step 6: Final answer
    x = 158,069.90

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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.