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Finding the Fourth Proportional to 148,545, 204,992.10 and 81,475.56

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Solution

The fourth proportional to 148,545, 204,992.10 and 81,475.56 is: 112,436.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,545 : 204,992.10 = 81,475.56 : x
  2. Step 2: Convert to fraction form
    148,545/204,992.10 = 81,475.56/x
  3. Step 3: Cross multiply
    148,545x = 204,992.10 × 81,475.56
  4. Step 4: Simplify right side
    148,545x = 16,701,846,143.08
  5. Step 5: Solve for x
    x = 16,701,846,143.08/148,545
  6. Step 6: Final answer
    x = 112,436.27

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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.