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Finding the Fourth Proportional to 188,495.88, 260,170.26 and 115,916.64

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Solution

The fourth proportional to 188,495.88, 260,170.26 and 115,916.64 is: 159,993.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,495.88 : 260,170.26 = 115,916.64 : x
  2. Step 2: Convert to fraction form
    188,495.88/260,170.26 = 115,916.64/x
  3. Step 3: Cross multiply
    188,495.88x = 260,170.26 × 115,916.64
  4. Step 4: Simplify right side
    188,495.88x = 30,158,062,367.13
  5. Step 5: Solve for x
    x = 30,158,062,367.13/188,495.88
  6. Step 6: Final answer
    x = 159,993.22

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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.