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Finding the Fourth Proportional to 131,067, 196,642.26 and 46,825.56

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Solution

The fourth proportional to 131,067, 196,642.26 and 46,825.56 is: 70,253.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,067 : 196,642.26 = 46,825.56 : x
  2. Step 2: Convert to fraction form
    131,067/196,642.26 = 46,825.56/x
  3. Step 3: Cross multiply
    131,067x = 196,642.26 × 46,825.56
  4. Step 4: Simplify right side
    131,067x = 9,207,883,944.17
  5. Step 5: Solve for x
    x = 9,207,883,944.17/131,067
  6. Step 6: Final answer
    x = 70,253.26

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1.5x scale

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.