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Finding the Fourth Proportional to 232,283.52, 320,211.84 and 164,180.34

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Solution

The fourth proportional to 232,283.52, 320,211.84 and 164,180.34 is: 226,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,283.52 : 320,211.84 = 164,180.34 : x
  2. Step 2: Convert to fraction form
    232,283.52/320,211.84 = 164,180.34/x
  3. Step 3: Cross multiply
    232,283.52x = 320,211.84 × 164,180.34
  4. Step 4: Simplify right side
    232,283.52x = 52,572,488,763.23
  5. Step 5: Solve for x
    x = 52,572,488,763.23/232,283.52
  6. Step 6: Final answer
    x = 226,328.97

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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.