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Finding the Fourth Proportional to 106,708.21, 160,062.32 and 27,822.22

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Solution

The fourth proportional to 106,708.21, 160,062.32 and 27,822.22 is: 41,733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,708.21 : 160,062.32 = 27,822.22 : x
  2. Step 2: Convert to fraction form
    106,708.21/160,062.32 = 27,822.22/x
  3. Step 3: Cross multiply
    106,708.21x = 160,062.32 × 27,822.22
  4. Step 4: Simplify right side
    106,708.21x = 4,453,288,750.15
  5. Step 5: Solve for x
    x = 4,453,288,750.15/106,708.21
  6. Step 6: Final answer
    x = 41,733.33

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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.