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Finding the Fourth Proportional to 224,441.75, 309,736.11 and 123,846.23

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Solution

The fourth proportional to 224,441.75, 309,736.11 and 123,846.23 is: 170,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,441.75 : 309,736.11 = 123,846.23 : x
  2. Step 2: Convert to fraction form
    224,441.75/309,736.11 = 123,846.23/x
  3. Step 3: Cross multiply
    224,441.75x = 309,736.11 × 123,846.23
  4. Step 4: Simplify right side
    224,441.75x = 38,359,649,518.37
  5. Step 5: Solve for x
    x = 38,359,649,518.37/224,441.75
  6. Step 6: Final answer
    x = 170,911.38

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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.