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Finding the Fourth Proportional to 295,105.10, 407,194.25 and 166,025.63

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Solution

The fourth proportional to 295,105.10, 407,194.25 and 166,025.63 is: 229,086.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,105.10 : 407,194.25 = 166,025.63 : x
  2. Step 2: Convert to fraction form
    295,105.10/407,194.25 = 166,025.63/x
  3. Step 3: Cross multiply
    295,105.10x = 407,194.25 × 166,025.63
  4. Step 4: Simplify right side
    295,105.10x = 67,604,682,076.49
  5. Step 5: Solve for x
    x = 67,604,682,076.49/295,105.10
  6. Step 6: Final answer
    x = 229,086.80

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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.