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Finding the Fourth Proportional to 203,099.73, 280,293.41 and 112,464.13

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Solution

The fourth proportional to 203,099.73, 280,293.41 and 112,464.13 is: 155,209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,099.73 : 280,293.41 = 112,464.13 : x
  2. Step 2: Convert to fraction form
    203,099.73/280,293.41 = 112,464.13/x
  3. Step 3: Cross multiply
    203,099.73x = 280,293.41 × 112,464.13
  4. Step 4: Simplify right side
    203,099.73x = 31,522,954,500.38
  5. Step 5: Solve for x
    x = 31,522,954,500.38/203,099.73
  6. Step 6: Final answer
    x = 155,209.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.