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Finding the Fourth Proportional to 234,540.88, 351,742.30 and 106,383.02

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Solution

The fourth proportional to 234,540.88, 351,742.30 and 106,383.02 is: 159,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,540.88 : 351,742.30 = 106,383.02 : x
  2. Step 2: Convert to fraction form
    234,540.88/351,742.30 = 106,383.02/x
  3. Step 3: Cross multiply
    234,540.88x = 351,742.30 × 106,383.02
  4. Step 4: Simplify right side
    234,540.88x = 37,419,406,111.08
  5. Step 5: Solve for x
    x = 37,419,406,111.08/234,540.88
  6. Step 6: Final answer
    x = 159,543.22

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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.