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Finding the Fourth Proportional to 189,058.50, 260,906.22 and 104,181.03

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Solution

The fourth proportional to 189,058.50, 260,906.22 and 104,181.03 is: 143,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,058.50 : 260,906.22 = 104,181.03 : x
  2. Step 2: Convert to fraction form
    189,058.50/260,906.22 = 104,181.03/x
  3. Step 3: Cross multiply
    189,058.50x = 260,906.22 × 104,181.03
  4. Step 4: Simplify right side
    189,058.50x = 27,181,478,733.01
  5. Step 5: Solve for x
    x = 27,181,478,733.01/189,058.50
  6. Step 6: Final answer
    x = 143,772.85

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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.