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Finding the Fourth Proportional to 260,047.10, 389,206.65 and 188,767.10

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Solution

The fourth proportional to 260,047.10, 389,206.65 and 188,767.10 is: 282,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,047.10 : 389,206.65 = 188,767.10 : x
  2. Step 2: Convert to fraction form
    260,047.10/389,206.65 = 188,767.10/x
  3. Step 3: Cross multiply
    260,047.10x = 389,206.65 × 188,767.10
  4. Step 4: Simplify right side
    260,047.10x = 73,469,410,621.22
  5. Step 5: Solve for x
    x = 73,469,410,621.22/260,047.10
  6. Step 6: Final answer
    x = 282,523.48

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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.