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Finding the Fourth Proportional to 200,797.23, 277,102.31 and 110,153.37

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Solution

The fourth proportional to 200,797.23, 277,102.31 and 110,153.37 is: 152,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,797.23 : 277,102.31 = 110,153.37 : x
  2. Step 2: Convert to fraction form
    200,797.23/277,102.31 = 110,153.37/x
  3. Step 3: Cross multiply
    200,797.23x = 277,102.31 × 110,153.37
  4. Step 4: Simplify right side
    200,797.23x = 30,523,752,730.52
  5. Step 5: Solve for x
    x = 30,523,752,730.52/200,797.23
  6. Step 6: Final answer
    x = 152,012.82

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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.