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Finding the Fourth Proportional to 342,005.26, 471,966.25 and 191,102.38

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Solution

The fourth proportional to 342,005.26, 471,966.25 and 191,102.38 is: 263,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,005.26 : 471,966.25 = 191,102.38 : x
  2. Step 2: Convert to fraction form
    342,005.26/471,966.25 = 191,102.38/x
  3. Step 3: Cross multiply
    342,005.26x = 471,966.25 × 191,102.38
  4. Step 4: Simplify right side
    342,005.26x = 90,193,873,654.68
  5. Step 5: Solve for x
    x = 90,193,873,654.68/342,005.26
  6. Step 6: Final answer
    x = 263,720.72

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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.