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Finding the Fourth Proportional to 189,653.98, 284,620.95 and 89,813.98

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Solution

The fourth proportional to 189,653.98, 284,620.95 and 89,813.98 is: 134,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,653.98 : 284,620.95 = 89,813.98 : x
  2. Step 2: Convert to fraction form
    189,653.98/284,620.95 = 89,813.98/x
  3. Step 3: Cross multiply
    189,653.98x = 284,620.95 × 89,813.98
  4. Step 4: Simplify right side
    189,653.98x = 25,562,940,310.88
  5. Step 5: Solve for x
    x = 25,562,940,310.88/189,653.98
  6. Step 6: Final answer
    x = 134,787.26

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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.