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Finding the Fourth Proportional to 190,008, 285,012 and 81,893.04

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Solution

The fourth proportional to 190,008, 285,012 and 81,893.04 is: 122,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,008 : 285,012 = 81,893.04 : x
  2. Step 2: Convert to fraction form
    190,008/285,012 = 81,893.04/x
  3. Step 3: Cross multiply
    190,008x = 285,012 × 81,893.04
  4. Step 4: Simplify right side
    190,008x = 23,340,499,116.48
  5. Step 5: Solve for x
    x = 23,340,499,116.48/190,008
  6. Step 6: Final answer
    x = 122,839.56

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Why These Related Problems?

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