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Finding the Fourth Proportional to 149,754.96, 223,661.52 and 135,686.88

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Solution

The fourth proportional to 149,754.96, 223,661.52 and 135,686.88 is: 202,650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,754.96 : 223,661.52 = 135,686.88 : x
  2. Step 2: Convert to fraction form
    149,754.96/223,661.52 = 135,686.88/x
  3. Step 3: Cross multiply
    149,754.96x = 223,661.52 × 135,686.88
  4. Step 4: Simplify right side
    149,754.96x = 30,347,933,824.86
  5. Step 5: Solve for x
    x = 30,347,933,824.86/149,754.96
  6. Step 6: Final answer
    x = 202,650.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.