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Finding the Fourth Proportional to 205,198.17, 283,178.27 and 128,720.50

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Solution

The fourth proportional to 205,198.17, 283,178.27 and 128,720.50 is: 177,637.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,198.17 : 283,178.27 = 128,720.50 : x
  2. Step 2: Convert to fraction form
    205,198.17/283,178.27 = 128,720.50/x
  3. Step 3: Cross multiply
    205,198.17x = 283,178.27 × 128,720.50
  4. Step 4: Simplify right side
    205,198.17x = 36,450,847,151.99
  5. Step 5: Solve for x
    x = 36,450,847,151.99/205,198.17
  6. Step 6: Final answer
    x = 177,637.29

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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.