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Finding the Fourth Proportional to 189,599.16, 284,450.60 and 82,963.72

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Solution

The fourth proportional to 189,599.16, 284,450.60 and 82,963.72 is: 124,468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,599.16 : 284,450.60 = 82,963.72 : x
  2. Step 2: Convert to fraction form
    189,599.16/284,450.60 = 82,963.72/x
  3. Step 3: Cross multiply
    189,599.16x = 284,450.60 × 82,963.72
  4. Step 4: Simplify right side
    189,599.16x = 23,599,079,932.23
  5. Step 5: Solve for x
    x = 23,599,079,932.23/189,599.16
  6. Step 6: Final answer
    x = 124,468.27

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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.