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Finding the Fourth Proportional to 205,329.36, 283,356.68 and 120,447.84

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Solution

The fourth proportional to 205,329.36, 283,356.68 and 120,447.84 is: 166,219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,329.36 : 283,356.68 = 120,447.84 : x
  2. Step 2: Convert to fraction form
    205,329.36/283,356.68 = 120,447.84/x
  3. Step 3: Cross multiply
    205,329.36x = 283,356.68 × 120,447.84
  4. Step 4: Simplify right side
    205,329.36x = 34,129,700,055.57
  5. Step 5: Solve for x
    x = 34,129,700,055.57/205,329.36
  6. Step 6: Final answer
    x = 166,219.29

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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.