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Finding the Fourth Proportional to 126,154.70, 189,268.57 and 37,410.33

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Solution

The fourth proportional to 126,154.70, 189,268.57 and 37,410.33 is: 56,126.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,154.70 : 189,268.57 = 37,410.33 : x
  2. Step 2: Convert to fraction form
    126,154.70/189,268.57 = 37,410.33/x
  3. Step 3: Cross multiply
    126,154.70x = 189,268.57 × 37,410.33
  4. Step 4: Simplify right side
    126,154.70x = 7,080,600,418.85
  5. Step 5: Solve for x
    x = 7,080,600,418.85/126,154.70
  6. Step 6: Final answer
    x = 56,126.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.