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Finding the Fourth Proportional to 234,568.82, 352,340.64 and 189,640.95

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Solution

The fourth proportional to 234,568.82, 352,340.64 and 189,640.95 is: 284,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,568.82 : 352,340.64 = 189,640.95 : x
  2. Step 2: Convert to fraction form
    234,568.82/352,340.64 = 189,640.95/x
  3. Step 3: Cross multiply
    234,568.82x = 352,340.64 × 189,640.95
  4. Step 4: Simplify right side
    234,568.82x = 66,818,213,693.21
  5. Step 5: Solve for x
    x = 66,818,213,693.21/234,568.82
  6. Step 6: Final answer
    x = 284,855.49

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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.