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Finding the Fourth Proportional to 254,167.93, 381,254.64 and 76,676.48

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Solution

The fourth proportional to 254,167.93, 381,254.64 and 76,676.48 is: 115,015.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,167.93 : 381,254.64 = 76,676.48 : x
  2. Step 2: Convert to fraction form
    254,167.93/381,254.64 = 76,676.48/x
  3. Step 3: Cross multiply
    254,167.93x = 381,254.64 × 76,676.48
  4. Step 4: Simplify right side
    254,167.93x = 29,233,263,778.87
  5. Step 5: Solve for x
    x = 29,233,263,778.87/254,167.93
  6. Step 6: Final answer
    x = 115,015.55

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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.