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Finding the Fourth Proportional to 189,184.50, 283,827.24 and 70,867.80

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Solution

The fourth proportional to 189,184.50, 283,827.24 and 70,867.80 is: 106,320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,184.50 : 283,827.24 = 70,867.80 : x
  2. Step 2: Convert to fraction form
    189,184.50/283,827.24 = 70,867.80/x
  3. Step 3: Cross multiply
    189,184.50x = 283,827.24 × 70,867.80
  4. Step 4: Simplify right side
    189,184.50x = 20,114,212,078.87
  5. Step 5: Solve for x
    x = 20,114,212,078.87/189,184.50
  6. Step 6: Final answer
    x = 106,320.61

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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.