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Finding the Fourth Proportional to 342,156.20, 472,156.44 and 189,185.54

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Solution

The fourth proportional to 342,156.20, 472,156.44 and 189,185.54 is: 261,065.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,156.20 : 472,156.44 = 189,185.54 : x
  2. Step 2: Convert to fraction form
    342,156.20/472,156.44 = 189,185.54/x
  3. Step 3: Cross multiply
    342,156.20x = 472,156.44 × 189,185.54
  4. Step 4: Simplify right side
    342,156.20x = 89,325,171,065.88
  5. Step 5: Solve for x
    x = 89,325,171,065.88/342,156.20
  6. Step 6: Final answer
    x = 261,065.48

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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.