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Finding the Fourth Proportional to 195,960, 270,426.72 and 106,537.92

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Solution

The fourth proportional to 195,960, 270,426.72 and 106,537.92 is: 147,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,960 : 270,426.72 = 106,537.92 : x
  2. Step 2: Convert to fraction form
    195,960/270,426.72 = 106,537.92/x
  3. Step 3: Cross multiply
    195,960x = 270,426.72 × 106,537.92
  4. Step 4: Simplify right side
    195,960x = 28,810,700,261.22
  5. Step 5: Solve for x
    x = 28,810,700,261.22/195,960
  6. Step 6: Final answer
    x = 147,023.37

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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.