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Finding the Fourth Proportional to 203,074, 280,203.24 and 131,444.08

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Solution

The fourth proportional to 203,074, 280,203.24 and 131,444.08 is: 181,367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,074 : 280,203.24 = 131,444.08 : x
  2. Step 2: Convert to fraction form
    203,074/280,203.24 = 131,444.08/x
  3. Step 3: Cross multiply
    203,074x = 280,203.24 × 131,444.08
  4. Step 4: Simplify right side
    203,074x = 36,831,057,094.82
  5. Step 5: Solve for x
    x = 36,831,057,094.82/203,074
  6. Step 6: Final answer
    x = 181,367.66

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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.