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Finding the Fourth Proportional to 189,653.73, 284,620.58 and 89,813.73

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Solution

The fourth proportional to 189,653.73, 284,620.58 and 89,813.73 is: 134,786.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,653.73 : 284,620.58 = 89,813.73 : x
  2. Step 2: Convert to fraction form
    189,653.73/284,620.58 = 89,813.73/x
  3. Step 3: Cross multiply
    189,653.73x = 284,620.58 × 89,813.73
  4. Step 4: Simplify right side
    189,653.73x = 25,562,835,475.49
  5. Step 5: Solve for x
    x = 25,562,835,475.49/189,653.73
  6. Step 6: Final answer
    x = 134,786.88

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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.