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Finding the Fourth Proportional to 188,468.48, 260,147.12 and 120,668.06

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Solution

The fourth proportional to 188,468.48, 260,147.12 and 120,668.06 is: 166,560.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,468.48 : 260,147.12 = 120,668.06 : x
  2. Step 2: Convert to fraction form
    188,468.48/260,147.12 = 120,668.06/x
  3. Step 3: Cross multiply
    188,468.48x = 260,147.12 × 120,668.06
  4. Step 4: Simplify right side
    188,468.48x = 31,391,446,380.91
  5. Step 5: Solve for x
    x = 31,391,446,380.91/188,468.48
  6. Step 6: Final answer
    x = 166,560.73

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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.