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Finding the Fourth Proportional to 232,284.52, 320,213.22 and 164,181.34

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Solution

The fourth proportional to 232,284.52, 320,213.22 and 164,181.34 is: 226,330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,284.52 : 320,213.22 = 164,181.34 : x
  2. Step 2: Convert to fraction form
    232,284.52/320,213.22 = 164,181.34/x
  3. Step 3: Cross multiply
    232,284.52x = 320,213.22 × 164,181.34
  4. Step 4: Simplify right side
    232,284.52x = 52,573,035,545.31
  5. Step 5: Solve for x
    x = 52,573,035,545.31/232,284.52
  6. Step 6: Final answer
    x = 226,330.34

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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.