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Finding the Fourth Proportional to 126,189, 174,141 and 69,600.24

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Solution

The fourth proportional to 126,189, 174,141 and 69,600.24 is: 96,048.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,189 : 174,141 = 69,600.24 : x
  2. Step 2: Convert to fraction form
    126,189/174,141 = 69,600.24/x
  3. Step 3: Cross multiply
    126,189x = 174,141 × 69,600.24
  4. Step 4: Simplify right side
    126,189x = 12,120,255,393.84
  5. Step 5: Solve for x
    x = 12,120,255,393.84/126,189
  6. Step 6: Final answer
    x = 96,048.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.