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Finding the Fourth Proportional to 189,284.38, 261,211.94 and 108,717.12

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Solution

The fourth proportional to 189,284.38, 261,211.94 and 108,717.12 is: 150,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,284.38 : 261,211.94 = 108,717.12 : x
  2. Step 2: Convert to fraction form
    189,284.38/261,211.94 = 108,717.12/x
  3. Step 3: Cross multiply
    189,284.38x = 261,211.94 × 108,717.12
  4. Step 4: Simplify right side
    189,284.38x = 28,398,209,826.41
  5. Step 5: Solve for x
    x = 28,398,209,826.41/189,284.38
  6. Step 6: Final answer
    x = 150,029.34

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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.