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Finding the Fourth Proportional to 229,286.61, 343,609.47 and 195,375.54

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Solution

The fourth proportional to 229,286.61, 343,609.47 and 195,375.54 is: 292,790.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,286.61 : 343,609.47 = 195,375.54 : x
  2. Step 2: Convert to fraction form
    229,286.61/343,609.47 = 195,375.54/x
  3. Step 3: Cross multiply
    229,286.61x = 343,609.47 × 195,375.54
  4. Step 4: Simplify right side
    229,286.61x = 67,132,885,750.36
  5. Step 5: Solve for x
    x = 67,132,885,750.36/229,286.61
  6. Step 6: Final answer
    x = 292,790.26

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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.