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Finding the Fourth Proportional to 126,367.44, 189,487.77 and 42,097.97

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Solution

The fourth proportional to 126,367.44, 189,487.77 and 42,097.97 is: 63,125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,367.44 : 189,487.77 = 42,097.97 : x
  2. Step 2: Convert to fraction form
    126,367.44/189,487.77 = 42,097.97/x
  3. Step 3: Cross multiply
    126,367.44x = 189,487.77 × 42,097.97
  4. Step 4: Simplify right side
    126,367.44x = 7,977,050,456.83
  5. Step 5: Solve for x
    x = 7,977,050,456.83/126,367.44
  6. Step 6: Final answer
    x = 63,125.84

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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.