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Finding the Fourth Proportional to 232,293.54, 320,225.78 and 164,190.36

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Solution

The fourth proportional to 232,293.54, 320,225.78 and 164,190.36 is: 226,342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,293.54 : 320,225.78 = 164,190.36 : x
  2. Step 2: Convert to fraction form
    232,293.54/320,225.78 = 164,190.36/x
  3. Step 3: Cross multiply
    232,293.54x = 320,225.78 × 164,190.36
  4. Step 4: Simplify right side
    232,293.54x = 52,577,985,278.53
  5. Step 5: Solve for x
    x = 52,577,985,278.53/232,293.54
  6. Step 6: Final answer
    x = 226,342.86

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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.