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Finding the Fourth Proportional to 185,791.82, 256,414.56 and 110,340.32

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Solution

The fourth proportional to 185,791.82, 256,414.56 and 110,340.32 is: 152,282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,791.82 : 256,414.56 = 110,340.32 : x
  2. Step 2: Convert to fraction form
    185,791.82/256,414.56 = 110,340.32/x
  3. Step 3: Cross multiply
    185,791.82x = 256,414.56 × 110,340.32
  4. Step 4: Simplify right side
    185,791.82x = 28,292,864,603.06
  5. Step 5: Solve for x
    x = 28,292,864,603.06/185,791.82
  6. Step 6: Final answer
    x = 152,282.62

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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.