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Finding the Fourth Proportional to 123,078.59, 184,617.88 and 38,845.30

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Solution

The fourth proportional to 123,078.59, 184,617.88 and 38,845.30 is: 58,267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,078.59 : 184,617.88 = 38,845.30 : x
  2. Step 2: Convert to fraction form
    123,078.59/184,617.88 = 38,845.30/x
  3. Step 3: Cross multiply
    123,078.59x = 184,617.88 × 38,845.30
  4. Step 4: Simplify right side
    123,078.59x = 7,171,536,739.74
  5. Step 5: Solve for x
    x = 7,171,536,739.74/123,078.59
  6. Step 6: Final answer
    x = 58,267.95

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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.