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Finding the Fourth Proportional to 213,274.38, 294,325.90 and 126,134.18

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Solution

The fourth proportional to 213,274.38, 294,325.90 and 126,134.18 is: 174,069.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,274.38 : 294,325.90 = 126,134.18 : x
  2. Step 2: Convert to fraction form
    213,274.38/294,325.90 = 126,134.18/x
  3. Step 3: Cross multiply
    213,274.38x = 294,325.90 × 126,134.18
  4. Step 4: Simplify right side
    213,274.38x = 37,124,555,523.66
  5. Step 5: Solve for x
    x = 37,124,555,523.66/213,274.38
  6. Step 6: Final answer
    x = 174,069.46

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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.