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Finding the Fourth Proportional to 143,141.76, 214,758 and 111,659.76

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Solution

The fourth proportional to 143,141.76, 214,758 and 111,659.76 is: 167,525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,141.76 : 214,758 = 111,659.76 : x
  2. Step 2: Convert to fraction form
    143,141.76/214,758 = 111,659.76/x
  3. Step 3: Cross multiply
    143,141.76x = 214,758 × 111,659.76
  4. Step 4: Simplify right side
    143,141.76x = 23,979,826,738.08
  5. Step 5: Solve for x
    x = 23,979,826,738.08/143,141.76
  6. Step 6: Final answer
    x = 167,525.02

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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.