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Finding the Fourth Proportional to 106,843.24, 160,205.72 and 43,707.73

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Solution

The fourth proportional to 106,843.24, 160,205.72 and 43,707.73 is: 65,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,843.24 : 160,205.72 = 43,707.73 : x
  2. Step 2: Convert to fraction form
    106,843.24/160,205.72 = 43,707.73/x
  3. Step 3: Cross multiply
    106,843.24x = 160,205.72 × 43,707.73
  4. Step 4: Simplify right side
    106,843.24x = 7,002,228,354.22
  5. Step 5: Solve for x
    x = 7,002,228,354.22/106,843.24
  6. Step 6: Final answer
    x = 65,537.40

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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.