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Finding the Fourth Proportional to 203,094.35, 280,181.96 and 122,477.07

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Solution

The fourth proportional to 203,094.35, 280,181.96 and 122,477.07 is: 168,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,094.35 : 280,181.96 = 122,477.07 : x
  2. Step 2: Convert to fraction form
    203,094.35/280,181.96 = 122,477.07/x
  3. Step 3: Cross multiply
    203,094.35x = 280,181.96 × 122,477.07
  4. Step 4: Simplify right side
    203,094.35x = 34,315,865,527.66
  5. Step 5: Solve for x
    x = 34,315,865,527.66/203,094.35
  6. Step 6: Final answer
    x = 168,965.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.