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Finding the Fourth Proportional to 232,370.97, 320,074.50 and 164,270.82

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Solution

The fourth proportional to 232,370.97, 320,074.50 and 164,270.82 is: 226,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,370.97 : 320,074.50 = 164,270.82 : x
  2. Step 2: Convert to fraction form
    232,370.97/320,074.50 = 164,270.82/x
  3. Step 3: Cross multiply
    232,370.97x = 320,074.50 × 164,270.82
  4. Step 4: Simplify right side
    232,370.97x = 52,578,900,576.09
  5. Step 5: Solve for x
    x = 52,578,900,576.09/232,370.97
  6. Step 6: Final answer
    x = 226,271.38

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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.