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Finding the Fourth Proportional to 224,728.74, 309,755.37 and 159,338.82

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Solution

The fourth proportional to 224,728.74, 309,755.37 and 159,338.82 is: 219,625.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,728.74 : 309,755.37 = 159,338.82 : x
  2. Step 2: Convert to fraction form
    224,728.74/309,755.37 = 159,338.82/x
  3. Step 3: Cross multiply
    224,728.74x = 309,755.37 × 159,338.82
  4. Step 4: Simplify right side
    224,728.74x = 49,356,055,144.46
  5. Step 5: Solve for x
    x = 49,356,055,144.46/224,728.74
  6. Step 6: Final answer
    x = 219,625.03

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1.5x scale

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.