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Finding the Fourth Proportional to 126,361.16, 189,570.90 and 67,253.84

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Solution

The fourth proportional to 126,361.16, 189,570.90 and 67,253.84 is: 100,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,361.16 : 189,570.90 = 67,253.84 : x
  2. Step 2: Convert to fraction form
    126,361.16/189,570.90 = 67,253.84/x
  3. Step 3: Cross multiply
    126,361.16x = 189,570.90 × 67,253.84
  4. Step 4: Simplify right side
    126,361.16x = 12,749,370,029.40
  5. Step 5: Solve for x
    x = 12,749,370,029.40/126,361.16
  6. Step 6: Final answer
    x = 100,896.28

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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.