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Finding the Fourth Proportional to 203,128.92, 305,160.50 and 143,295.10

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Solution

The fourth proportional to 203,128.92, 305,160.50 and 143,295.10 is: 215,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,128.92 : 305,160.50 = 143,295.10 : x
  2. Step 2: Convert to fraction form
    203,128.92/305,160.50 = 143,295.10/x
  3. Step 3: Cross multiply
    203,128.92x = 305,160.50 × 143,295.10
  4. Step 4: Simplify right side
    203,128.92x = 43,728,004,363.55
  5. Step 5: Solve for x
    x = 43,728,004,363.55/203,128.92
  6. Step 6: Final answer
    x = 215,272.17

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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.