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Finding the Fourth Proportional to 200,150.82, 276,156.27 and 119,542.86

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Solution

The fourth proportional to 200,150.82, 276,156.27 and 119,542.86 is: 164,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,150.82 : 276,156.27 = 119,542.86 : x
  2. Step 2: Convert to fraction form
    200,150.82/276,156.27 = 119,542.86/x
  3. Step 3: Cross multiply
    200,150.82x = 276,156.27 × 119,542.86
  4. Step 4: Simplify right side
    200,150.82x = 33,012,510,322.73
  5. Step 5: Solve for x
    x = 33,012,510,322.73/200,150.82
  6. Step 6: Final answer
    x = 164,938.17

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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.