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Finding the Fourth Proportional to 205,003.40, 307,505.10 and 202,238.60

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Solution

The fourth proportional to 205,003.40, 307,505.10 and 202,238.60 is: 303,357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,003.40 : 307,505.10 = 202,238.60 : x
  2. Step 2: Convert to fraction form
    205,003.40/307,505.10 = 202,238.60/x
  3. Step 3: Cross multiply
    205,003.40x = 307,505.10 × 202,238.60
  4. Step 4: Simplify right side
    205,003.40x = 62,189,400,916.86
  5. Step 5: Solve for x
    x = 62,189,400,916.86/205,003.40
  6. Step 6: Final answer
    x = 303,357.90

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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.