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Finding the Fourth Proportional to 265,974.60, 398,629.26 and 132,892.32

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Solution

The fourth proportional to 265,974.60, 398,629.26 and 132,892.32 is: 199,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,974.60 : 398,629.26 = 132,892.32 : x
  2. Step 2: Convert to fraction form
    265,974.60/398,629.26 = 132,892.32/x
  3. Step 3: Cross multiply
    265,974.60x = 398,629.26 × 132,892.32
  4. Step 4: Simplify right side
    265,974.60x = 52,974,767,181.28
  5. Step 5: Solve for x
    x = 52,974,767,181.28/265,974.60
  6. Step 6: Final answer
    x = 199,172.28

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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.