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Finding the Fourth Proportional to 282,002.45, 422,998.20 and 68,771.16

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Solution

The fourth proportional to 282,002.45, 422,998.20 and 68,771.16 is: 103,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,002.45 : 422,998.20 = 68,771.16 : x
  2. Step 2: Convert to fraction form
    282,002.45/422,998.20 = 68,771.16/x
  3. Step 3: Cross multiply
    282,002.45x = 422,998.20 × 68,771.16
  4. Step 4: Simplify right side
    282,002.45x = 29,090,076,891.91
  5. Step 5: Solve for x
    x = 29,090,076,891.91/282,002.45
  6. Step 6: Final answer
    x = 103,155.41

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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.