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Finding the Fourth Proportional to 263,783.62, 364,020.89 and 142,928.18

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Solution

The fourth proportional to 263,783.62, 364,020.89 and 142,928.18 is: 197,240.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,783.62 : 364,020.89 = 142,928.18 : x
  2. Step 2: Convert to fraction form
    263,783.62/364,020.89 = 142,928.18/x
  3. Step 3: Cross multiply
    263,783.62x = 364,020.89 × 142,928.18
  4. Step 4: Simplify right side
    263,783.62x = 52,028,843,289.68
  5. Step 5: Solve for x
    x = 52,028,843,289.68/263,783.62
  6. Step 6: Final answer
    x = 197,240.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.