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Finding the Fourth Proportional to 189,468.46, 284,201.60 and 47,313.46

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Solution

The fourth proportional to 189,468.46, 284,201.60 and 47,313.46 is: 70,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,468.46 : 284,201.60 = 47,313.46 : x
  2. Step 2: Convert to fraction form
    189,468.46/284,201.60 = 47,313.46/x
  3. Step 3: Cross multiply
    189,468.46x = 284,201.60 × 47,313.46
  4. Step 4: Simplify right side
    189,468.46x = 13,446,560,441.32
  5. Step 5: Solve for x
    x = 13,446,560,441.32/189,468.46
  6. Step 6: Final answer
    x = 70,969.92

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Why These Related Problems?

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