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Finding the Fourth Proportional to 232,212.73, 348,353.72 and 82,440.48

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Solution

The fourth proportional to 232,212.73, 348,353.72 and 82,440.48 is: 123,673.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,212.73 : 348,353.72 = 82,440.48 : x
  2. Step 2: Convert to fraction form
    232,212.73/348,353.72 = 82,440.48/x
  3. Step 3: Cross multiply
    232,212.73x = 348,353.72 × 82,440.48
  4. Step 4: Simplify right side
    232,212.73x = 28,718,447,886.59
  5. Step 5: Solve for x
    x = 28,718,447,886.59/232,212.73
  6. Step 6: Final answer
    x = 123,673.01

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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.