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Finding the Fourth Proportional to 126,106.74, 189,162 and 54,050.22

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Solution

The fourth proportional to 126,106.74, 189,162 and 54,050.22 is: 81,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,106.74 : 189,162 = 54,050.22 : x
  2. Step 2: Convert to fraction form
    126,106.74/189,162 = 54,050.22/x
  3. Step 3: Cross multiply
    126,106.74x = 189,162 × 54,050.22
  4. Step 4: Simplify right side
    126,106.74x = 10,224,247,715.64
  5. Step 5: Solve for x
    x = 10,224,247,715.64/126,106.74
  6. Step 6: Final answer
    x = 81,076.14

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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.