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Finding the Fourth Proportional to 234,142.40, 351,213.14 and 180,911.73

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Solution

The fourth proportional to 234,142.40, 351,213.14 and 180,911.73 is: 271,367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,142.40 : 351,213.14 = 180,911.73 : x
  2. Step 2: Convert to fraction form
    234,142.40/351,213.14 = 180,911.73/x
  3. Step 3: Cross multiply
    234,142.40x = 351,213.14 × 180,911.73
  4. Step 4: Simplify right side
    234,142.40x = 63,538,576,041.07
  5. Step 5: Solve for x
    x = 63,538,576,041.07/234,142.40
  6. Step 6: Final answer
    x = 271,367.24

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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.