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Finding the Fourth Proportional to 178,568.26, 267,856.44 and 45,448

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Solution

The fourth proportional to 178,568.26, 267,856.44 and 45,448 is: 68,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,568.26 : 267,856.44 = 45,448 : x
  2. Step 2: Convert to fraction form
    178,568.26/267,856.44 = 45,448/x
  3. Step 3: Cross multiply
    178,568.26x = 267,856.44 × 45,448
  4. Step 4: Simplify right side
    178,568.26x = 12,173,539,485.12
  5. Step 5: Solve for x
    x = 12,173,539,485.12/178,568.26
  6. Step 6: Final answer
    x = 68,173.03

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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.