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Finding the Fourth Proportional to 189,995.60, 284,993.40 and 49,768.40

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Solution

The fourth proportional to 189,995.60, 284,993.40 and 49,768.40 is: 74,652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,995.60 : 284,993.40 = 49,768.40 : x
  2. Step 2: Convert to fraction form
    189,995.60/284,993.40 = 49,768.40/x
  3. Step 3: Cross multiply
    189,995.60x = 284,993.40 × 49,768.40
  4. Step 4: Simplify right side
    189,995.60x = 14,183,665,528.56
  5. Step 5: Solve for x
    x = 14,183,665,528.56/189,995.60
  6. Step 6: Final answer
    x = 74,652.60

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1.5x scale

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.