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Finding the Fourth Proportional to 196,291.79, 270,882.72 and 106,867.79

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Solution

The fourth proportional to 196,291.79, 270,882.72 and 106,867.79 is: 147,477.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,291.79 : 270,882.72 = 106,867.79 : x
  2. Step 2: Convert to fraction form
    196,291.79/270,882.72 = 106,867.79/x
  3. Step 3: Cross multiply
    196,291.79x = 270,882.72 × 106,867.79
  4. Step 4: Simplify right side
    196,291.79x = 28,948,637,635.59
  5. Step 5: Solve for x
    x = 28,948,637,635.59/196,291.79
  6. Step 6: Final answer
    x = 147,477.58

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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.