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Finding the Fourth Proportional to 203,715.80, 305,683.05 and 85,399.10

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Solution

The fourth proportional to 203,715.80, 305,683.05 and 85,399.10 is: 128,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,715.80 : 305,683.05 = 85,399.10 : x
  2. Step 2: Convert to fraction form
    203,715.80/305,683.05 = 85,399.10/x
  3. Step 3: Cross multiply
    203,715.80x = 305,683.05 × 85,399.10
  4. Step 4: Simplify right side
    203,715.80x = 26,105,057,355.26
  5. Step 5: Solve for x
    x = 26,105,057,355.26/203,715.80
  6. Step 6: Final answer
    x = 128,144.49

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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.