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Finding the Fourth Proportional to 126,077.76, 189,144.32 and 37,338.21

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Solution

The fourth proportional to 126,077.76, 189,144.32 and 37,338.21 is: 56,015.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,077.76 : 189,144.32 = 37,338.21 : x
  2. Step 2: Convert to fraction form
    126,077.76/189,144.32 = 37,338.21/x
  3. Step 3: Cross multiply
    126,077.76x = 189,144.32 × 37,338.21
  4. Step 4: Simplify right side
    126,077.76x = 7,062,310,153.78
  5. Step 5: Solve for x
    x = 7,062,310,153.78/126,077.76
  6. Step 6: Final answer
    x = 56,015.51

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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.