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Finding the Fourth Proportional to 255,217.50, 382,797.06 and 68,243.58

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Solution

The fourth proportional to 255,217.50, 382,797.06 and 68,243.58 is: 102,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,217.50 : 382,797.06 = 68,243.58 : x
  2. Step 2: Convert to fraction form
    255,217.50/382,797.06 = 68,243.58/x
  3. Step 3: Cross multiply
    255,217.50x = 382,797.06 × 68,243.58
  4. Step 4: Simplify right side
    255,217.50x = 26,123,441,787.87
  5. Step 5: Solve for x
    x = 26,123,441,787.87/255,217.50
  6. Step 6: Final answer
    x = 102,357.56

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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.