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Finding the Fourth Proportional to 126,457.76, 189,542.64 and 42,198.14

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Solution

The fourth proportional to 126,457.76, 189,542.64 and 42,198.14 is: 63,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,457.76 : 189,542.64 = 42,198.14 : x
  2. Step 2: Convert to fraction form
    126,457.76/189,542.64 = 42,198.14/x
  3. Step 3: Cross multiply
    126,457.76x = 189,542.64 × 42,198.14
  4. Step 4: Simplify right side
    126,457.76x = 7,998,346,858.69
  5. Step 5: Solve for x
    x = 7,998,346,858.69/126,457.76
  6. Step 6: Final answer
    x = 63,249.16

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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.