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Finding the Fourth Proportional to 180,368.25, 270,343.24 and 67,976.50

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Solution

The fourth proportional to 180,368.25, 270,343.24 and 67,976.50 is: 101,885.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,368.25 : 270,343.24 = 67,976.50 : x
  2. Step 2: Convert to fraction form
    180,368.25/270,343.24 = 67,976.50/x
  3. Step 3: Cross multiply
    180,368.25x = 270,343.24 × 67,976.50
  4. Step 4: Simplify right side
    180,368.25x = 18,376,987,253.86
  5. Step 5: Solve for x
    x = 18,376,987,253.86/180,368.25
  6. Step 6: Final answer
    x = 101,885.93

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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.