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Finding the Fourth Proportional to 356,168, 491,490.15 and 195,024.98

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Solution

The fourth proportional to 356,168, 491,490.15 and 195,024.98 is: 269,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,168 : 491,490.15 = 195,024.98 : x
  2. Step 2: Convert to fraction form
    356,168/491,490.15 = 195,024.98/x
  3. Step 3: Cross multiply
    356,168x = 491,490.15 × 195,024.98
  4. Step 4: Simplify right side
    356,168x = 95,852,856,673.95
  5. Step 5: Solve for x
    x = 95,852,856,673.95/356,168
  6. Step 6: Final answer
    x = 269,122.60

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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.