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Finding the Fourth Proportional to 253,198.28, 379,797.42 and 66,208.16

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Solution

The fourth proportional to 253,198.28, 379,797.42 and 66,208.16 is: 99,312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,198.28 : 379,797.42 = 66,208.16 : x
  2. Step 2: Convert to fraction form
    253,198.28/379,797.42 = 66,208.16/x
  3. Step 3: Cross multiply
    253,198.28x = 379,797.42 × 66,208.16
  4. Step 4: Simplify right side
    253,198.28x = 25,145,688,350.95
  5. Step 5: Solve for x
    x = 25,145,688,350.95/253,198.28
  6. Step 6: Final answer
    x = 99,312.24

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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.