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Finding the Fourth Proportional to 231,000.40, 346,511.40 and 73,241.20

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Solution

The fourth proportional to 231,000.40, 346,511.40 and 73,241.20 is: 109,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,000.40 : 346,511.40 = 73,241.20 : x
  2. Step 2: Convert to fraction form
    231,000.40/346,511.40 = 73,241.20/x
  3. Step 3: Cross multiply
    231,000.40x = 346,511.40 × 73,241.20
  4. Step 4: Simplify right side
    231,000.40x = 25,378,910,749.68
  5. Step 5: Solve for x
    x = 25,378,910,749.68/231,000.40
  6. Step 6: Final answer
    x = 109,865.22

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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.