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Finding the Fourth Proportional to 200,702.26, 276,993.03 and 115,817.50

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Solution

The fourth proportional to 200,702.26, 276,993.03 and 115,817.50 is: 159,841.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,702.26 : 276,993.03 = 115,817.50 : x
  2. Step 2: Convert to fraction form
    200,702.26/276,993.03 = 115,817.50/x
  3. Step 3: Cross multiply
    200,702.26x = 276,993.03 × 115,817.50
  4. Step 4: Simplify right side
    200,702.26x = 32,080,640,252.03
  5. Step 5: Solve for x
    x = 32,080,640,252.03/200,702.26
  6. Step 6: Final answer
    x = 159,841.95

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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.