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Finding the Fourth Proportional to 78,195.78, 117,301.87 and 25,609.37

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Solution

The fourth proportional to 78,195.78, 117,301.87 and 25,609.37 is: 38,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,195.78 : 117,301.87 = 25,609.37 : x
  2. Step 2: Convert to fraction form
    78,195.78/117,301.87 = 25,609.37/x
  3. Step 3: Cross multiply
    78,195.78x = 117,301.87 × 25,609.37
  4. Step 4: Simplify right side
    78,195.78x = 3,004,026,436.02
  5. Step 5: Solve for x
    x = 3,004,026,436.02/78,195.78
  6. Step 6: Final answer
    x = 38,416.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.