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Finding the Fourth Proportional to 204,033.60, 306,050.40 and 137,678.40

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Solution

The fourth proportional to 204,033.60, 306,050.40 and 137,678.40 is: 206,517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,033.60 : 306,050.40 = 137,678.40 : x
  2. Step 2: Convert to fraction form
    204,033.60/306,050.40 = 137,678.40/x
  3. Step 3: Cross multiply
    204,033.60x = 306,050.40 × 137,678.40
  4. Step 4: Simplify right side
    204,033.60x = 42,136,529,391.36
  5. Step 5: Solve for x
    x = 42,136,529,391.36/204,033.60
  6. Step 6: Final answer
    x = 206,517.60

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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.