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Finding the Fourth Proportional to 203,854.20, 305,781.30 and 184,827.30

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Solution

The fourth proportional to 203,854.20, 305,781.30 and 184,827.30 is: 277,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,854.20 : 305,781.30 = 184,827.30 : x
  2. Step 2: Convert to fraction form
    203,854.20/305,781.30 = 184,827.30/x
  3. Step 3: Cross multiply
    203,854.20x = 305,781.30 × 184,827.30
  4. Step 4: Simplify right side
    203,854.20x = 56,516,732,069.49
  5. Step 5: Solve for x
    x = 56,516,732,069.49/203,854.20
  6. Step 6: Final answer
    x = 277,240.95

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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.