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Finding the Fourth Proportional to 189,477.39, 284,304.68 and 82,847.50

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Solution

The fourth proportional to 189,477.39, 284,304.68 and 82,847.50 is: 124,309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,477.39 : 284,304.68 = 82,847.50 : x
  2. Step 2: Convert to fraction form
    189,477.39/284,304.68 = 82,847.50/x
  3. Step 3: Cross multiply
    189,477.39x = 284,304.68 × 82,847.50
  4. Step 4: Simplify right side
    189,477.39x = 23,553,931,976.30
  5. Step 5: Solve for x
    x = 23,553,931,976.30/189,477.39
  6. Step 6: Final answer
    x = 124,309.99

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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.