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Finding the Fourth Proportional to 200,683.70, 276,932.84 and 114,625.77

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Solution

The fourth proportional to 200,683.70, 276,932.84 and 114,625.77 is: 158,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,683.70 : 276,932.84 = 114,625.77 : x
  2. Step 2: Convert to fraction form
    200,683.70/276,932.84 = 114,625.77/x
  3. Step 3: Cross multiply
    200,683.70x = 276,932.84 × 114,625.77
  4. Step 4: Simplify right side
    200,683.70x = 31,743,639,450.16
  5. Step 5: Solve for x
    x = 31,743,639,450.16/200,683.70
  6. Step 6: Final answer
    x = 158,177.47

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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.