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Finding the Fourth Proportional to 231,215.97, 346,830.12 and 81,422.22

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Solution

The fourth proportional to 231,215.97, 346,830.12 and 81,422.22 is: 122,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,215.97 : 346,830.12 = 81,422.22 : x
  2. Step 2: Convert to fraction form
    231,215.97/346,830.12 = 81,422.22/x
  3. Step 3: Cross multiply
    231,215.97x = 346,830.12 × 81,422.22
  4. Step 4: Simplify right side
    231,215.97x = 28,239,678,333.27
  5. Step 5: Solve for x
    x = 28,239,678,333.27/231,215.97
  6. Step 6: Final answer
    x = 122,135.50

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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.