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Finding the Fourth Proportional to 202,309.70, 303,549.60 and 108,706.10

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Solution

The fourth proportional to 202,309.70, 303,549.60 and 108,706.10 is: 163,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,309.70 : 303,549.60 = 108,706.10 : x
  2. Step 2: Convert to fraction form
    202,309.70/303,549.60 = 108,706.10/x
  3. Step 3: Cross multiply
    202,309.70x = 303,549.60 × 108,706.10
  4. Step 4: Simplify right side
    202,309.70x = 32,997,693,172.56
  5. Step 5: Solve for x
    x = 32,997,693,172.56/202,309.70
  6. Step 6: Final answer
    x = 163,104.85

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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.