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Finding the Fourth Proportional to 232,307.36, 320,244.82 and 164,204.18

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Solution

The fourth proportional to 232,307.36, 320,244.82 and 164,204.18 is: 226,361.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,307.36 : 320,244.82 = 164,204.18 : x
  2. Step 2: Convert to fraction form
    232,307.36/320,244.82 = 164,204.18/x
  3. Step 3: Cross multiply
    232,307.36x = 320,244.82 × 164,204.18
  4. Step 4: Simplify right side
    232,307.36x = 52,585,538,067.35
  5. Step 5: Solve for x
    x = 52,585,538,067.35/232,307.36
  6. Step 6: Final answer
    x = 226,361.91

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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.