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Finding the Fourth Proportional to 231,217.98, 346,833.12 and 81,424.22

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Solution

The fourth proportional to 231,217.98, 346,833.12 and 81,424.22 is: 122,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,217.98 : 346,833.12 = 81,424.22 : x
  2. Step 2: Convert to fraction form
    231,217.98/346,833.12 = 81,424.22/x
  3. Step 3: Cross multiply
    231,217.98x = 346,833.12 × 81,424.22
  4. Step 4: Simplify right side
    231,217.98x = 28,240,616,266.17
  5. Step 5: Solve for x
    x = 28,240,616,266.17/231,217.98
  6. Step 6: Final answer
    x = 122,138.50

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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.