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Finding the Fourth Proportional to 172,970.74, 259,540.84 and 116,080.48

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Solution

The fourth proportional to 172,970.74, 259,540.84 and 116,080.48 is: 174,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,970.74 : 259,540.84 = 116,080.48 : x
  2. Step 2: Convert to fraction form
    172,970.74/259,540.84 = 116,080.48/x
  3. Step 3: Cross multiply
    172,970.74x = 259,540.84 × 116,080.48
  4. Step 4: Simplify right side
    172,970.74x = 30,127,625,286.80
  5. Step 5: Solve for x
    x = 30,127,625,286.80/172,970.74
  6. Step 6: Final answer
    x = 174,177.58

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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.