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Finding the Fourth Proportional to 180,102.30, 270,153.45 and 67,807.71

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Solution

The fourth proportional to 180,102.30, 270,153.45 and 67,807.71 is: 101,711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,102.30 : 270,153.45 = 67,807.71 : x
  2. Step 2: Convert to fraction form
    180,102.30/270,153.45 = 67,807.71/x
  3. Step 3: Cross multiply
    180,102.30x = 270,153.45 × 67,807.71
  4. Step 4: Simplify right side
    180,102.30x = 18,318,485,794.91
  5. Step 5: Solve for x
    x = 18,318,485,794.91/180,102.30
  6. Step 6: Final answer
    x = 101,711.56

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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.