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Finding the Fourth Proportional to 202,152.70, 303,229.05 and 123,420.70

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Solution

The fourth proportional to 202,152.70, 303,229.05 and 123,420.70 is: 185,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,152.70 : 303,229.05 = 123,420.70 : x
  2. Step 2: Convert to fraction form
    202,152.70/303,229.05 = 123,420.70/x
  3. Step 3: Cross multiply
    202,152.70x = 303,229.05 × 123,420.70
  4. Step 4: Simplify right side
    202,152.70x = 37,424,741,611.34
  5. Step 5: Solve for x
    x = 37,424,741,611.34/202,152.70
  6. Step 6: Final answer
    x = 185,131.05

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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.