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Finding the Fourth Proportional to 234,667.92, 323,787.47 and 158,328.63

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Solution

The fourth proportional to 234,667.92, 323,787.47 and 158,328.63 is: 218,456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,667.92 : 323,787.47 = 158,328.63 : x
  2. Step 2: Convert to fraction form
    234,667.92/323,787.47 = 158,328.63/x
  3. Step 3: Cross multiply
    234,667.92x = 323,787.47 × 158,328.63
  4. Step 4: Simplify right side
    234,667.92x = 51,264,827,741.56
  5. Step 5: Solve for x
    x = 51,264,827,741.56/234,667.92
  6. Step 6: Final answer
    x = 218,456.91

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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.