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Finding the Fourth Proportional to 106,751.70, 160,145.97 and 43,606.11

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Solution

The fourth proportional to 106,751.70, 160,145.97 and 43,606.11 is: 65,416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,751.70 : 160,145.97 = 43,606.11 : x
  2. Step 2: Convert to fraction form
    106,751.70/160,145.97 = 43,606.11/x
  3. Step 3: Cross multiply
    106,751.70x = 160,145.97 × 43,606.11
  4. Step 4: Simplify right side
    106,751.70x = 6,983,342,783.88
  5. Step 5: Solve for x
    x = 6,983,342,783.88/106,751.70
  6. Step 6: Final answer
    x = 65,416.69

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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.