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Finding the Fourth Proportional to 184,076.20, 275,919.90 and 105,020.20

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Solution

The fourth proportional to 184,076.20, 275,919.90 and 105,020.20 is: 157,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,076.20 : 275,919.90 = 105,020.20 : x
  2. Step 2: Convert to fraction form
    184,076.20/275,919.90 = 105,020.20/x
  3. Step 3: Cross multiply
    184,076.20x = 275,919.90 × 105,020.20
  4. Step 4: Simplify right side
    184,076.20x = 28,977,163,081.98
  5. Step 5: Solve for x
    x = 28,977,163,081.98/184,076.20
  6. Step 6: Final answer
    x = 157,419.39

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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.