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Finding the Fourth Proportional to 101,539.52, 152,218.86 and 48,198.59

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Solution

The fourth proportional to 101,539.52, 152,218.86 and 48,198.59 is: 72,254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,539.52 : 152,218.86 = 48,198.59 : x
  2. Step 2: Convert to fraction form
    101,539.52/152,218.86 = 48,198.59/x
  3. Step 3: Cross multiply
    101,539.52x = 152,218.86 × 48,198.59
  4. Step 4: Simplify right side
    101,539.52x = 7,336,733,481.57
  5. Step 5: Solve for x
    x = 7,336,733,481.57/101,539.52
  6. Step 6: Final answer
    x = 72,254.96

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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.