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Finding the Fourth Proportional to 229,454.67, 343,793.67 and 140,522.45

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Solution

The fourth proportional to 229,454.67, 343,793.67 and 140,522.45 is: 210,545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,454.67 : 343,793.67 = 140,522.45 : x
  2. Step 2: Convert to fraction form
    229,454.67/343,793.67 = 140,522.45/x
  3. Step 3: Cross multiply
    229,454.67x = 343,793.67 × 140,522.45
  4. Step 4: Simplify right side
    229,454.67x = 48,310,726,556.96
  5. Step 5: Solve for x
    x = 48,310,726,556.96/229,454.67
  6. Step 6: Final answer
    x = 210,545.84

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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.