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Finding the Fourth Proportional to 356,145.31, 491,480.44 and 195,000.31

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Solution

The fourth proportional to 356,145.31, 491,480.44 and 195,000.31 is: 269,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,145.31 : 491,480.44 = 195,000.31 : x
  2. Step 2: Convert to fraction form
    356,145.31/491,480.44 = 195,000.31/x
  3. Step 3: Cross multiply
    356,145.31x = 491,480.44 × 195,000.31
  4. Step 4: Simplify right side
    356,145.31x = 95,838,838,158.94
  5. Step 5: Solve for x
    x = 95,838,838,158.94/356,145.31
  6. Step 6: Final answer
    x = 269,100.38

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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.