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Finding the Fourth Proportional to 202,344.40, 303,516.60 and 149,200.30

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Solution

The fourth proportional to 202,344.40, 303,516.60 and 149,200.30 is: 223,800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,344.40 : 303,516.60 = 149,200.30 : x
  2. Step 2: Convert to fraction form
    202,344.40/303,516.60 = 149,200.30/x
  3. Step 3: Cross multiply
    202,344.40x = 303,516.60 × 149,200.30
  4. Step 4: Simplify right side
    202,344.40x = 45,284,767,774.98
  5. Step 5: Solve for x
    x = 45,284,767,774.98/202,344.40
  6. Step 6: Final answer
    x = 223,800.45

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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.