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Finding the Fourth Proportional to 205,431.64, 283,497.54 and 120,550.12

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Solution

The fourth proportional to 205,431.64, 283,497.54 and 120,550.12 is: 166,360.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,431.64 : 283,497.54 = 120,550.12 : x
  2. Step 2: Convert to fraction form
    205,431.64/283,497.54 = 120,550.12/x
  3. Step 3: Cross multiply
    205,431.64x = 283,497.54 × 120,550.12
  4. Step 4: Simplify right side
    205,431.64x = 34,175,662,466.70
  5. Step 5: Solve for x
    x = 34,175,662,466.70/205,431.64
  6. Step 6: Final answer
    x = 166,360.27

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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.