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Finding the Fourth Proportional to 196,134, 270,664.92 and 106,710.64

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Solution

The fourth proportional to 196,134, 270,664.92 and 106,710.64 is: 147,260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,134 : 270,664.92 = 106,710.64 : x
  2. Step 2: Convert to fraction form
    196,134/270,664.92 = 106,710.64/x
  3. Step 3: Cross multiply
    196,134x = 270,664.92 × 106,710.64
  4. Step 4: Simplify right side
    196,134x = 28,882,826,838.75
  5. Step 5: Solve for x
    x = 28,882,826,838.75/196,134
  6. Step 6: Final answer
    x = 147,260.68

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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.