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Finding the Fourth Proportional to 234,215.82, 323,111.43 and 149,280.03

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Solution

The fourth proportional to 234,215.82, 323,111.43 and 149,280.03 is: 205,938.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,215.82 : 323,111.43 = 149,280.03 : x
  2. Step 2: Convert to fraction form
    234,215.82/323,111.43 = 149,280.03/x
  3. Step 3: Cross multiply
    234,215.82x = 323,111.43 × 149,280.03
  4. Step 4: Simplify right side
    234,215.82x = 48,234,083,963.74
  5. Step 5: Solve for x
    x = 48,234,083,963.74/234,215.82
  6. Step 6: Final answer
    x = 205,938.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.