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Finding the Fourth Proportional to 106,958.75, 160,207.46 and 100,670.59

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Solution

The fourth proportional to 106,958.75, 160,207.46 and 100,670.59 is: 150,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,958.75 : 160,207.46 = 100,670.59 : x
  2. Step 2: Convert to fraction form
    106,958.75/160,207.46 = 100,670.59/x
  3. Step 3: Cross multiply
    106,958.75x = 160,207.46 × 100,670.59
  4. Step 4: Simplify right side
    106,958.75x = 16,128,178,719.56
  5. Step 5: Solve for x
    x = 16,128,178,719.56/106,958.75
  6. Step 6: Final answer
    x = 150,788.78

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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.