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Finding the Fourth Proportional to 189,497.40, 284,224.05 and 49,266.96

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Solution

The fourth proportional to 189,497.40, 284,224.05 and 49,266.96 is: 73,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,497.40 : 284,224.05 = 49,266.96 : x
  2. Step 2: Convert to fraction form
    189,497.40/284,224.05 = 49,266.96/x
  3. Step 3: Cross multiply
    189,497.40x = 284,224.05 × 49,266.96
  4. Step 4: Simplify right side
    189,497.40x = 14,002,854,902.39
  5. Step 5: Solve for x
    x = 14,002,854,902.39/189,497.40
  6. Step 6: Final answer
    x = 73,894.71

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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.