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Finding the Fourth Proportional to 174,809.97, 262,093.46 and 89,254.53

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Solution

The fourth proportional to 174,809.97, 262,093.46 and 89,254.53 is: 133,819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,809.97 : 262,093.46 = 89,254.53 : x
  2. Step 2: Convert to fraction form
    174,809.97/262,093.46 = 89,254.53/x
  3. Step 3: Cross multiply
    174,809.97x = 262,093.46 × 89,254.53
  4. Step 4: Simplify right side
    174,809.97x = 23,393,028,142.10
  5. Step 5: Solve for x
    x = 23,393,028,142.10/174,809.97
  6. Step 6: Final answer
    x = 133,819.76

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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.