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Finding the Fourth Proportional to 231,035.82, 346,404.29 and 151,910.16

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Solution

The fourth proportional to 231,035.82, 346,404.29 and 151,910.16 is: 227,766.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,035.82 : 346,404.29 = 151,910.16 : x
  2. Step 2: Convert to fraction form
    231,035.82/346,404.29 = 151,910.16/x
  3. Step 3: Cross multiply
    231,035.82x = 346,404.29 × 151,910.16
  4. Step 4: Simplify right side
    231,035.82x = 52,622,330,359.04
  5. Step 5: Solve for x
    x = 52,622,330,359.04/231,035.82
  6. Step 6: Final answer
    x = 227,766.98

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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.