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Finding the Fourth Proportional to 138,963.34, 208,443.50 and 33,782.42

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Solution

The fourth proportional to 138,963.34, 208,443.50 and 33,782.42 is: 50,673.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,963.34 : 208,443.50 = 33,782.42 : x
  2. Step 2: Convert to fraction form
    138,963.34/208,443.50 = 33,782.42/x
  3. Step 3: Cross multiply
    138,963.34x = 208,443.50 × 33,782.42
  4. Step 4: Simplify right side
    138,963.34x = 7,041,725,863.27
  5. Step 5: Solve for x
    x = 7,041,725,863.27/138,963.34
  6. Step 6: Final answer
    x = 50,673.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.