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Finding the Fourth Proportional to 200,537.31, 276,737.13 and 109,891.32

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Solution

The fourth proportional to 200,537.31, 276,737.13 and 109,891.32 is: 151,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,537.31 : 276,737.13 = 109,891.32 : x
  2. Step 2: Convert to fraction form
    200,537.31/276,737.13 = 109,891.32/x
  3. Step 3: Cross multiply
    200,537.31x = 276,737.13 × 109,891.32
  4. Step 4: Simplify right side
    200,537.31x = 30,411,008,508.71
  5. Step 5: Solve for x
    x = 30,411,008,508.71/200,537.31
  6. Step 6: Final answer
    x = 151,647.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.