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Finding the Fourth Proportional to 137,446.54, 205,653.22 and 81,313.14

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Solution

The fourth proportional to 137,446.54, 205,653.22 and 81,313.14 is: 121,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,446.54 : 205,653.22 = 81,313.14 : x
  2. Step 2: Convert to fraction form
    137,446.54/205,653.22 = 81,313.14/x
  3. Step 3: Cross multiply
    137,446.54x = 205,653.22 × 81,313.14
  4. Step 4: Simplify right side
    137,446.54x = 16,722,309,069.31
  5. Step 5: Solve for x
    x = 16,722,309,069.31/137,446.54
  6. Step 6: Final answer
    x = 121,664.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.