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Finding the Fourth Proportional to 214,863.83, 294,219.81 and 206,393.93

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Solution

The fourth proportional to 214,863.83, 294,219.81 and 206,393.93 is: 282,621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,863.83 : 294,219.81 = 206,393.93 : x
  2. Step 2: Convert to fraction form
    214,863.83/294,219.81 = 206,393.93/x
  3. Step 3: Cross multiply
    214,863.83x = 294,219.81 × 206,393.93
  4. Step 4: Simplify right side
    214,863.83x = 60,725,181,398.65
  5. Step 5: Solve for x
    x = 60,725,181,398.65/214,863.83
  6. Step 6: Final answer
    x = 282,621.71

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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.