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Finding the Fourth Proportional to 255,954.95, 383,378.36 and 166,938.41

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Solution

The fourth proportional to 255,954.95, 383,378.36 and 166,938.41 is: 250,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,954.95 : 383,378.36 = 166,938.41 : x
  2. Step 2: Convert to fraction form
    255,954.95/383,378.36 = 166,938.41/x
  3. Step 3: Cross multiply
    255,954.95x = 383,378.36 × 166,938.41
  4. Step 4: Simplify right side
    255,954.95x = 64,000,573,012.12
  5. Step 5: Solve for x
    x = 64,000,573,012.12/255,954.95
  6. Step 6: Final answer
    x = 250,046.24

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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.