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Finding the Fourth Proportional to 274,227.98, 411,194.34 and 147,936.02

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Solution

The fourth proportional to 274,227.98, 411,194.34 and 147,936.02 is: 221,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,227.98 : 411,194.34 = 147,936.02 : x
  2. Step 2: Convert to fraction form
    274,227.98/411,194.34 = 147,936.02/x
  3. Step 3: Cross multiply
    274,227.98x = 411,194.34 × 147,936.02
  4. Step 4: Simplify right side
    274,227.98x = 60,830,452,050.16
  5. Step 5: Solve for x
    x = 60,830,452,050.16/274,227.98
  6. Step 6: Final answer
    x = 221,824.39

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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.