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Finding the Fourth Proportional to 189,680.88, 284,537.72 and 49,439.50

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Solution

The fourth proportional to 189,680.88, 284,537.72 and 49,439.50 is: 74,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,680.88 : 284,537.72 = 49,439.50 : x
  2. Step 2: Convert to fraction form
    189,680.88/284,537.72 = 49,439.50/x
  3. Step 3: Cross multiply
    189,680.88x = 284,537.72 × 49,439.50
  4. Step 4: Simplify right side
    189,680.88x = 14,067,402,607.94
  5. Step 5: Solve for x
    x = 14,067,402,607.94/189,680.88
  6. Step 6: Final answer
    x = 74,163.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.