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Finding the Fourth Proportional to 200,743.70, 277,025.02 and 114,729

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Solution

The fourth proportional to 200,743.70, 277,025.02 and 114,729 is: 158,325.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,743.70 : 277,025.02 = 114,729 : x
  2. Step 2: Convert to fraction form
    200,743.70/277,025.02 = 114,729/x
  3. Step 3: Cross multiply
    200,743.70x = 277,025.02 × 114,729
  4. Step 4: Simplify right side
    200,743.70x = 31,782,803,519.58
  5. Step 5: Solve for x
    x = 31,782,803,519.58/200,743.70
  6. Step 6: Final answer
    x = 158,325.29

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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.