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Finding the Fourth Proportional to 265,911.41, 397,930.95 and 166,118.60

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Solution

The fourth proportional to 265,911.41, 397,930.95 and 166,118.60 is: 248,593.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,911.41 : 397,930.95 = 166,118.60 : x
  2. Step 2: Convert to fraction form
    265,911.41/397,930.95 = 166,118.60/x
  3. Step 3: Cross multiply
    265,911.41x = 397,930.95 × 166,118.60
  4. Step 4: Simplify right side
    265,911.41x = 66,103,730,321.02
  5. Step 5: Solve for x
    x = 66,103,730,321.02/265,911.41
  6. Step 6: Final answer
    x = 248,593.06

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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.