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Finding the Fourth Proportional to 150,780.98, 208,078.03 and 82,787.15

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Solution

The fourth proportional to 150,780.98, 208,078.03 and 82,787.15 is: 114,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,780.98 : 208,078.03 = 82,787.15 : x
  2. Step 2: Convert to fraction form
    150,780.98/208,078.03 = 82,787.15/x
  3. Step 3: Cross multiply
    150,780.98x = 208,078.03 × 82,787.15
  4. Step 4: Simplify right side
    150,780.98x = 17,226,187,081.31
  5. Step 5: Solve for x
    x = 17,226,187,081.31/150,780.98
  6. Step 6: Final answer
    x = 114,246.42

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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.