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Finding the Fourth Proportional to 234,463.19, 323,522.66 and 138,954.47

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Solution

The fourth proportional to 234,463.19, 323,522.66 and 138,954.47 is: 191,735.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,463.19 : 323,522.66 = 138,954.47 : x
  2. Step 2: Convert to fraction form
    234,463.19/323,522.66 = 138,954.47/x
  3. Step 3: Cross multiply
    234,463.19x = 323,522.66 × 138,954.47
  4. Step 4: Simplify right side
    234,463.19x = 44,954,919,058.52
  5. Step 5: Solve for x
    x = 44,954,919,058.52/234,463.19
  6. Step 6: Final answer
    x = 191,735.51

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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.