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Finding the Fourth Proportional to 205,794.64, 283,836.36 and 137,790

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Solution

The fourth proportional to 205,794.64, 283,836.36 and 137,790 is: 190,042.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,794.64 : 283,836.36 = 137,790 : x
  2. Step 2: Convert to fraction form
    205,794.64/283,836.36 = 137,790/x
  3. Step 3: Cross multiply
    205,794.64x = 283,836.36 × 137,790
  4. Step 4: Simplify right side
    205,794.64x = 39,109,812,044.40
  5. Step 5: Solve for x
    x = 39,109,812,044.40/205,794.64
  6. Step 6: Final answer
    x = 190,042.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.