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Finding the Fourth Proportional to 208,551.24, 312,785.34 and 123,194.25

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Solution

The fourth proportional to 208,551.24, 312,785.34 and 123,194.25 is: 184,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,551.24 : 312,785.34 = 123,194.25 : x
  2. Step 2: Convert to fraction form
    208,551.24/312,785.34 = 123,194.25/x
  3. Step 3: Cross multiply
    208,551.24x = 312,785.34 × 123,194.25
  4. Step 4: Simplify right side
    208,551.24x = 38,533,355,372.30
  5. Step 5: Solve for x
    x = 38,533,355,372.30/208,551.24
  6. Step 6: Final answer
    x = 184,766.85

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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.