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Finding the Fourth Proportional to 257,223.55, 354,850.32 and 166,609.75

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Solution

The fourth proportional to 257,223.55, 354,850.32 and 166,609.75 is: 229,844.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,223.55 : 354,850.32 = 166,609.75 : x
  2. Step 2: Convert to fraction form
    257,223.55/354,850.32 = 166,609.75/x
  3. Step 3: Cross multiply
    257,223.55x = 354,850.32 × 166,609.75
  4. Step 4: Simplify right side
    257,223.55x = 59,121,523,102.62
  5. Step 5: Solve for x
    x = 59,121,523,102.62/257,223.55
  6. Step 6: Final answer
    x = 229,844.91

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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.