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Finding the Fourth Proportional to 271,639.94, 407,210.45 and 94,022.73

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Solution

The fourth proportional to 271,639.94, 407,210.45 and 94,022.73 is: 140,947.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,639.94 : 407,210.45 = 94,022.73 : x
  2. Step 2: Convert to fraction form
    271,639.94/407,210.45 = 94,022.73/x
  3. Step 3: Cross multiply
    271,639.94x = 407,210.45 × 94,022.73
  4. Step 4: Simplify right side
    271,639.94x = 38,287,037,723.41
  5. Step 5: Solve for x
    x = 38,287,037,723.41/271,639.94
  6. Step 6: Final answer
    x = 140,947.75

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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.