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Finding the Fourth Proportional to 193,093.92, 289,585.44 and 66,701.28

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Solution

The fourth proportional to 193,093.92, 289,585.44 and 66,701.28 is: 100,032.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,093.92 : 289,585.44 = 66,701.28 : x
  2. Step 2: Convert to fraction form
    193,093.92/289,585.44 = 66,701.28/x
  3. Step 3: Cross multiply
    193,093.92x = 289,585.44 × 66,701.28
  4. Step 4: Simplify right side
    193,093.92x = 19,315,719,517.36
  5. Step 5: Solve for x
    x = 19,315,719,517.36/193,093.92
  6. Step 6: Final answer
    x = 100,032.77

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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.