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Finding the Fourth Proportional to 184,083.20, 275,930.40 and 105,027.20

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Solution

The fourth proportional to 184,083.20, 275,930.40 and 105,027.20 is: 157,429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,083.20 : 275,930.40 = 105,027.20 : x
  2. Step 2: Convert to fraction form
    184,083.20/275,930.40 = 105,027.20/x
  3. Step 3: Cross multiply
    184,083.20x = 275,930.40 × 105,027.20
  4. Step 4: Simplify right side
    184,083.20x = 28,980,197,306.88
  5. Step 5: Solve for x
    x = 28,980,197,306.88/184,083.20
  6. Step 6: Final answer
    x = 157,429.89

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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.