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Finding the Fourth Proportional to 307,111.38, 423,757.62 and 171,141.95

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Solution

The fourth proportional to 307,111.38, 423,757.62 and 171,141.95 is: 236,144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,111.38 : 423,757.62 = 171,141.95 : x
  2. Step 2: Convert to fraction form
    307,111.38/423,757.62 = 171,141.95/x
  3. Step 3: Cross multiply
    307,111.38x = 423,757.62 × 171,141.95
  4. Step 4: Simplify right side
    307,111.38x = 72,522,703,295.37
  5. Step 5: Solve for x
    x = 72,522,703,295.37/307,111.38
  6. Step 6: Final answer
    x = 236,144.63

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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.