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Finding the Fourth Proportional to 148,083.09, 204,359.36 and 81,015.09

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Solution

The fourth proportional to 148,083.09, 204,359.36 and 81,015.09 is: 111,803.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,083.09 : 204,359.36 = 81,015.09 : x
  2. Step 2: Convert to fraction form
    148,083.09/204,359.36 = 81,015.09/x
  3. Step 3: Cross multiply
    148,083.09x = 204,359.36 × 81,015.09
  4. Step 4: Simplify right side
    148,083.09x = 16,556,191,537.67
  5. Step 5: Solve for x
    x = 16,556,191,537.67/148,083.09
  6. Step 6: Final answer
    x = 111,803.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.