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Finding the Fourth Proportional to 189,598.49, 284,450.39 and 82,963.34

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Solution

The fourth proportional to 189,598.49, 284,450.39 and 82,963.34 is: 124,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,598.49 : 284,450.39 = 82,963.34 : x
  2. Step 2: Convert to fraction form
    189,598.49/284,450.39 = 82,963.34/x
  3. Step 3: Cross multiply
    189,598.49x = 284,450.39 × 82,963.34
  4. Step 4: Simplify right side
    189,598.49x = 23,598,954,418.70
  5. Step 5: Solve for x
    x = 23,598,954,418.70/189,598.49
  6. Step 6: Final answer
    x = 124,468.05

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1.5x scale

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.