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Finding the Fourth Proportional to 254,083.74, 380,459.78 and 178,796.26

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Solution

The fourth proportional to 254,083.74, 380,459.78 and 178,796.26 is: 267,725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,083.74 : 380,459.78 = 178,796.26 : x
  2. Step 2: Convert to fraction form
    254,083.74/380,459.78 = 178,796.26/x
  3. Step 3: Cross multiply
    254,083.74x = 380,459.78 × 178,796.26
  4. Step 4: Simplify right side
    254,083.74x = 68,024,787,002.23
  5. Step 5: Solve for x
    x = 68,024,787,002.23/254,083.74
  6. Step 6: Final answer
    x = 267,725.86

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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.