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Finding the Fourth Proportional to 165,067.84, 228,959.04 and 160,692.80

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Solution

The fourth proportional to 165,067.84, 228,959.04 and 160,692.80 is: 222,890.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,067.84 : 228,959.04 = 160,692.80 : x
  2. Step 2: Convert to fraction form
    165,067.84/228,959.04 = 160,692.80/x
  3. Step 3: Cross multiply
    165,067.84x = 228,959.04 × 160,692.80
  4. Step 4: Simplify right side
    165,067.84x = 36,792,069,222.91
  5. Step 5: Solve for x
    x = 36,792,069,222.91/165,067.84
  6. Step 6: Final answer
    x = 222,890.60

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.