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Finding the Fourth Proportional to 196,033, 270,525.54 and 106,609

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Solution

The fourth proportional to 196,033, 270,525.54 and 106,609 is: 147,120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,033 : 270,525.54 = 106,609 : x
  2. Step 2: Convert to fraction form
    196,033/270,525.54 = 106,609/x
  3. Step 3: Cross multiply
    196,033x = 270,525.54 × 106,609
  4. Step 4: Simplify right side
    196,033x = 28,840,457,293.86
  5. Step 5: Solve for x
    x = 28,840,457,293.86/196,033
  6. Step 6: Final answer
    x = 147,120.42

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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.