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Finding the Fourth Proportional to 106,398.88, 146,883.60 and 82,471.84

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Solution

The fourth proportional to 106,398.88, 146,883.60 and 82,471.84 is: 113,852.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,398.88 : 146,883.60 = 82,471.84 : x
  2. Step 2: Convert to fraction form
    106,398.88/146,883.60 = 82,471.84/x
  3. Step 3: Cross multiply
    106,398.88x = 146,883.60 × 82,471.84
  4. Step 4: Simplify right side
    106,398.88x = 12,113,760,757.82
  5. Step 5: Solve for x
    x = 12,113,760,757.82/106,398.88
  6. Step 6: Final answer
    x = 113,852.33

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1.5x scale

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.