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Finding the Fourth Proportional to 146,556.94, 202,252.98 and 82,893.46

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Solution

The fourth proportional to 146,556.94, 202,252.98 and 82,893.46 is: 114,395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,556.94 : 202,252.98 = 82,893.46 : x
  2. Step 2: Convert to fraction form
    146,556.94/202,252.98 = 82,893.46/x
  3. Step 3: Cross multiply
    146,556.94x = 202,252.98 × 82,893.46
  4. Step 4: Simplify right side
    146,556.94x = 16,765,449,307.51
  5. Step 5: Solve for x
    x = 16,765,449,307.51/146,556.94
  6. Step 6: Final answer
    x = 114,395.47

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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.