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Finding the Fourth Proportional to 114,525.96, 171,788.93 and 67,213.05

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Solution

The fourth proportional to 114,525.96, 171,788.93 and 67,213.05 is: 100,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,525.96 : 171,788.93 = 67,213.05 : x
  2. Step 2: Convert to fraction form
    114,525.96/171,788.93 = 67,213.05/x
  3. Step 3: Cross multiply
    114,525.96x = 171,788.93 × 67,213.05
  4. Step 4: Simplify right side
    114,525.96x = 11,546,457,941.54
  5. Step 5: Solve for x
    x = 11,546,457,941.54/114,525.96
  6. Step 6: Final answer
    x = 100,819.57

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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.