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Finding the Fourth Proportional to 255,785.92, 383,678.34 and 68,797.60

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Solution

The fourth proportional to 255,785.92, 383,678.34 and 68,797.60 is: 103,196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,785.92 : 383,678.34 = 68,797.60 : x
  2. Step 2: Convert to fraction form
    255,785.92/383,678.34 = 68,797.60/x
  3. Step 3: Cross multiply
    255,785.92x = 383,678.34 × 68,797.60
  4. Step 4: Simplify right side
    255,785.92x = 26,396,148,963.98
  5. Step 5: Solve for x
    x = 26,396,148,963.98/255,785.92
  6. Step 6: Final answer
    x = 103,196.25

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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.