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Finding the Fourth Proportional to 189,994.36, 284,803.60 and 89,978.80

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Solution

The fourth proportional to 189,994.36, 284,803.60 and 89,978.80 is: 134,879.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,994.36 : 284,803.60 = 89,978.80 : x
  2. Step 2: Convert to fraction form
    189,994.36/284,803.60 = 89,978.80/x
  3. Step 3: Cross multiply
    189,994.36x = 284,803.60 × 89,978.80
  4. Step 4: Simplify right side
    189,994.36x = 25,626,286,163.68
  5. Step 5: Solve for x
    x = 25,626,286,163.68/189,994.36
  6. Step 6: Final answer
    x = 134,879.19

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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.