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Finding the Fourth Proportional to 232,293.92, 320,226.29 and 164,190.74

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Solution

The fourth proportional to 232,293.92, 320,226.29 and 164,190.74 is: 226,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,293.92 : 320,226.29 = 164,190.74 : x
  2. Step 2: Convert to fraction form
    232,293.92/320,226.29 = 164,190.74/x
  3. Step 3: Cross multiply
    232,293.92x = 320,226.29 × 164,190.74
  4. Step 4: Simplify right side
    232,293.92x = 52,578,190,331.90
  5. Step 5: Solve for x
    x = 52,578,190,331.90/232,293.92
  6. Step 6: Final answer
    x = 226,343.38

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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.