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Finding the Fourth Proportional to 234,189.97, 351,284.41 and 180,959.34

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Solution

The fourth proportional to 234,189.97, 351,284.41 and 180,959.34 is: 271,438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,189.97 : 351,284.41 = 180,959.34 : x
  2. Step 2: Convert to fraction form
    234,189.97/351,284.41 = 180,959.34/x
  3. Step 3: Cross multiply
    234,189.97x = 351,284.41 × 180,959.34
  4. Step 4: Simplify right side
    234,189.97x = 63,568,194,985.89
  5. Step 5: Solve for x
    x = 63,568,194,985.89/234,189.97
  6. Step 6: Final answer
    x = 271,438.59

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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.