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Finding the Fourth Proportional to 206,150.24, 282,355.60 and 194,045.60

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Solution

The fourth proportional to 206,150.24, 282,355.60 and 194,045.60 is: 265,776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,150.24 : 282,355.60 = 194,045.60 : x
  2. Step 2: Convert to fraction form
    206,150.24/282,355.60 = 194,045.60/x
  3. Step 3: Cross multiply
    206,150.24x = 282,355.60 × 194,045.60
  4. Step 4: Simplify right side
    206,150.24x = 54,789,861,815.36
  5. Step 5: Solve for x
    x = 54,789,861,815.36/206,150.24
  6. Step 6: Final answer
    x = 265,776.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.