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Finding the Fourth Proportional to 209,536.41, 289,166.37 and 114,049.29

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Solution

The fourth proportional to 209,536.41, 289,166.37 and 114,049.29 is: 157,391.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,536.41 : 289,166.37 = 114,049.29 : x
  2. Step 2: Convert to fraction form
    209,536.41/289,166.37 = 114,049.29/x
  3. Step 3: Cross multiply
    209,536.41x = 289,166.37 × 114,049.29
  4. Step 4: Simplify right side
    209,536.41x = 32,979,219,190.38
  5. Step 5: Solve for x
    x = 32,979,219,190.38/209,536.41
  6. Step 6: Final answer
    x = 157,391.35

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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.