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Finding the Fourth Proportional to 228,922.60, 343,092.30 and 166,520.20

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Solution

The fourth proportional to 228,922.60, 343,092.30 and 166,520.20 is: 249,568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,922.60 : 343,092.30 = 166,520.20 : x
  2. Step 2: Convert to fraction form
    228,922.60/343,092.30 = 166,520.20/x
  3. Step 3: Cross multiply
    228,922.60x = 343,092.30 × 166,520.20
  4. Step 4: Simplify right side
    228,922.60x = 57,131,798,414.46
  5. Step 5: Solve for x
    x = 57,131,798,414.46/228,922.60
  6. Step 6: Final answer
    x = 249,568.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.