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Finding the Fourth Proportional to 281,641.86, 422,482.23 and 81,963.90

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Solution

The fourth proportional to 281,641.86, 422,482.23 and 81,963.90 is: 122,951.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,641.86 : 422,482.23 = 81,963.90 : x
  2. Step 2: Convert to fraction form
    281,641.86/422,482.23 = 81,963.90/x
  3. Step 3: Cross multiply
    281,641.86x = 422,482.23 × 81,963.90
  4. Step 4: Simplify right side
    281,641.86x = 34,628,291,251.50
  5. Step 5: Solve for x
    x = 34,628,291,251.50/281,641.86
  6. Step 6: Final answer
    x = 122,951.51

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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.