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Finding the Fourth Proportional to 209,876.72, 289,630.12 and 114,383.52

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Solution

The fourth proportional to 209,876.72, 289,630.12 and 114,383.52 is: 157,849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,876.72 : 289,630.12 = 114,383.52 : x
  2. Step 2: Convert to fraction form
    209,876.72/289,630.12 = 114,383.52/x
  3. Step 3: Cross multiply
    209,876.72x = 289,630.12 × 114,383.52
  4. Step 4: Simplify right side
    209,876.72x = 33,128,912,623.62
  5. Step 5: Solve for x
    x = 33,128,912,623.62/209,876.72
  6. Step 6: Final answer
    x = 157,849.39

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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.