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Finding the Fourth Proportional to 200,601.36, 276,838.92 and 114,567.84

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Solution

The fourth proportional to 200,601.36, 276,838.92 and 114,567.84 is: 158,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,601.36 : 276,838.92 = 114,567.84 : x
  2. Step 2: Convert to fraction form
    200,601.36/276,838.92 = 114,567.84/x
  3. Step 3: Cross multiply
    200,601.36x = 276,838.92 × 114,567.84
  4. Step 4: Simplify right side
    200,601.36x = 31,716,837,092.33
  5. Step 5: Solve for x
    x = 31,716,837,092.33/200,601.36
  6. Step 6: Final answer
    x = 158,108.78

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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.