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Finding the Fourth Proportional to 205,338.96, 283,354.44 and 119,290.32

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Solution

The fourth proportional to 205,338.96, 283,354.44 and 119,290.32 is: 164,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,338.96 : 283,354.44 = 119,290.32 : x
  2. Step 2: Convert to fraction form
    205,338.96/283,354.44 = 119,290.32/x
  3. Step 3: Cross multiply
    205,338.96x = 283,354.44 × 119,290.32
  4. Step 4: Simplify right side
    205,338.96x = 33,801,441,821.02
  5. Step 5: Solve for x
    x = 33,801,441,821.02/205,338.96
  6. Step 6: Final answer
    x = 164,612.90

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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.