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Finding the Fourth Proportional to 204,093.10, 306,139.65 and 137,737.90

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Solution

The fourth proportional to 204,093.10, 306,139.65 and 137,737.90 is: 206,606.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,093.10 : 306,139.65 = 137,737.90 : x
  2. Step 2: Convert to fraction form
    204,093.10/306,139.65 = 137,737.90/x
  3. Step 3: Cross multiply
    204,093.10x = 306,139.65 × 137,737.90
  4. Step 4: Simplify right side
    204,093.10x = 42,167,032,497.74
  5. Step 5: Solve for x
    x = 42,167,032,497.74/204,093.10
  6. Step 6: Final answer
    x = 206,606.85

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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.