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Finding the Fourth Proportional to 209,956.86, 289,743.48 and 114,468.39

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Solution

The fourth proportional to 209,956.86, 289,743.48 and 114,468.39 is: 157,968.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,956.86 : 289,743.48 = 114,468.39 : x
  2. Step 2: Convert to fraction form
    209,956.86/289,743.48 = 114,468.39/x
  3. Step 3: Cross multiply
    209,956.86x = 289,743.48 × 114,468.39
  4. Step 4: Simplify right side
    209,956.86x = 33,166,469,668.60
  5. Step 5: Solve for x
    x = 33,166,469,668.60/209,956.86
  6. Step 6: Final answer
    x = 157,968.02

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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.