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Finding the Fourth Proportional to 189,542.80, 284,314.20 and 96,230.80

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Solution

The fourth proportional to 189,542.80, 284,314.20 and 96,230.80 is: 144,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,542.80 : 284,314.20 = 96,230.80 : x
  2. Step 2: Convert to fraction form
    189,542.80/284,314.20 = 96,230.80/x
  3. Step 3: Cross multiply
    189,542.80x = 284,314.20 × 96,230.80
  4. Step 4: Simplify right side
    189,542.80x = 27,359,782,917.36
  5. Step 5: Solve for x
    x = 27,359,782,917.36/189,542.80
  6. Step 6: Final answer
    x = 144,346.20

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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.