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Finding the Fourth Proportional to 232,346.57, 320,040.83 and 164,246.43

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Solution

The fourth proportional to 232,346.57, 320,040.83 and 164,246.43 is: 226,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,346.57 : 320,040.83 = 164,246.43 : x
  2. Step 2: Convert to fraction form
    232,346.57/320,040.83 = 164,246.43/x
  3. Step 3: Cross multiply
    232,346.57x = 320,040.83 × 164,246.43
  4. Step 4: Simplify right side
    232,346.57x = 52,565,563,781.74
  5. Step 5: Solve for x
    x = 52,565,563,781.74/232,346.57
  6. Step 6: Final answer
    x = 226,237.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.