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Finding the Fourth Proportional to 200,456, 276,637.92 and 111,032

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Solution

The fourth proportional to 200,456, 276,637.92 and 111,032 is: 153,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,456 : 276,637.92 = 111,032 : x
  2. Step 2: Convert to fraction form
    200,456/276,637.92 = 111,032/x
  3. Step 3: Cross multiply
    200,456x = 276,637.92 × 111,032
  4. Step 4: Simplify right side
    200,456x = 30,715,661,533.44
  5. Step 5: Solve for x
    x = 30,715,661,533.44/200,456
  6. Step 6: Final answer
    x = 153,228.95

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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.