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Finding the Fourth Proportional to 299,105.56, 412,755.60 and 178,184.23

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Solution

The fourth proportional to 299,105.56, 412,755.60 and 178,184.23 is: 245,888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,105.56 : 412,755.60 = 178,184.23 : x
  2. Step 2: Convert to fraction form
    299,105.56/412,755.60 = 178,184.23/x
  3. Step 3: Cross multiply
    299,105.56x = 412,755.60 × 178,184.23
  4. Step 4: Simplify right side
    299,105.56x = 73,546,538,764.19
  5. Step 5: Solve for x
    x = 73,546,538,764.19/299,105.56
  6. Step 6: Final answer
    x = 245,888.24

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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.