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Finding the Fourth Proportional to 241,014.46, 332,610.84 and 137,657.68

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Solution

The fourth proportional to 241,014.46, 332,610.84 and 137,657.68 is: 189,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,014.46 : 332,610.84 = 137,657.68 : x
  2. Step 2: Convert to fraction form
    241,014.46/332,610.84 = 137,657.68/x
  3. Step 3: Cross multiply
    241,014.46x = 332,610.84 × 137,657.68
  4. Step 4: Simplify right side
    241,014.46x = 45,786,436,326.47
  5. Step 5: Solve for x
    x = 45,786,436,326.47/241,014.46
  6. Step 6: Final answer
    x = 189,973.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.