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Finding the Fourth Proportional to 218,099.50, 300,982.18 and 133,263.34

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Solution

The fourth proportional to 218,099.50, 300,982.18 and 133,263.34 is: 183,906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,099.50 : 300,982.18 = 133,263.34 : x
  2. Step 2: Convert to fraction form
    218,099.50/300,982.18 = 133,263.34/x
  3. Step 3: Cross multiply
    218,099.50x = 300,982.18 × 133,263.34
  4. Step 4: Simplify right side
    218,099.50x = 40,109,890,587.28
  5. Step 5: Solve for x
    x = 40,109,890,587.28/218,099.50
  6. Step 6: Final answer
    x = 183,906.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.