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Finding the Fourth Proportional to 106,546.80, 159,674.40 and 70,906.80

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Solution

The fourth proportional to 106,546.80, 159,674.40 and 70,906.80 is: 106,263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,546.80 : 159,674.40 = 70,906.80 : x
  2. Step 2: Convert to fraction form
    106,546.80/159,674.40 = 70,906.80/x
  3. Step 3: Cross multiply
    106,546.80x = 159,674.40 × 70,906.80
  4. Step 4: Simplify right side
    106,546.80x = 11,322,000,745.92
  5. Step 5: Solve for x
    x = 11,322,000,745.92/106,546.80
  6. Step 6: Final answer
    x = 106,263.17

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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.