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Finding the Fourth Proportional to 200,344.21, 276,472.40 and 114,300.95

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Solution

The fourth proportional to 200,344.21, 276,472.40 and 114,300.95 is: 157,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,344.21 : 276,472.40 = 114,300.95 : x
  2. Step 2: Convert to fraction form
    200,344.21/276,472.40 = 114,300.95/x
  3. Step 3: Cross multiply
    200,344.21x = 276,472.40 × 114,300.95
  4. Step 4: Simplify right side
    200,344.21x = 31,601,056,014.91
  5. Step 5: Solve for x
    x = 31,601,056,014.91/200,344.21
  6. Step 6: Final answer
    x = 157,733.81

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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.