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Finding the Fourth Proportional to 138,702.31, 208,053.50 and 33,521.27

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Solution

The fourth proportional to 138,702.31, 208,053.50 and 33,521.27 is: 50,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,702.31 : 208,053.50 = 33,521.27 : x
  2. Step 2: Convert to fraction form
    138,702.31/208,053.50 = 33,521.27/x
  3. Step 3: Cross multiply
    138,702.31x = 208,053.50 × 33,521.27
  4. Step 4: Simplify right side
    138,702.31x = 6,974,216,340.07
  5. Step 5: Solve for x
    x = 6,974,216,340.07/138,702.31
  6. Step 6: Final answer
    x = 50,281.91

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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.