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Finding the Fourth Proportional to 255,688.67, 352,843.85 and 140,964.64

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Solution

The fourth proportional to 255,688.67, 352,843.85 and 140,964.64 is: 194,527.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,688.67 : 352,843.85 = 140,964.64 : x
  2. Step 2: Convert to fraction form
    255,688.67/352,843.85 = 140,964.64/x
  3. Step 3: Cross multiply
    255,688.67x = 352,843.85 × 140,964.64
  4. Step 4: Simplify right side
    255,688.67x = 49,738,505,761.77
  5. Step 5: Solve for x
    x = 49,738,505,761.77/255,688.67
  6. Step 6: Final answer
    x = 194,527.61

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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.