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Finding the Fourth Proportional to 189,299, 283,865.34 and 70,887.30

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Solution

The fourth proportional to 189,299, 283,865.34 and 70,887.30 is: 106,299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,299 : 283,865.34 = 70,887.30 : x
  2. Step 2: Convert to fraction form
    189,299/283,865.34 = 70,887.30/x
  3. Step 3: Cross multiply
    189,299x = 283,865.34 × 70,887.30
  4. Step 4: Simplify right side
    189,299x = 20,122,447,516.18
  5. Step 5: Solve for x
    x = 20,122,447,516.18/189,299
  6. Step 6: Final answer
    x = 106,299.81

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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.