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Finding the Fourth Proportional to 184,058.80, 253,996.80 and 120,395.20

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Solution

The fourth proportional to 184,058.80, 253,996.80 and 120,395.20 is: 166,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,058.80 : 253,996.80 = 120,395.20 : x
  2. Step 2: Convert to fraction form
    184,058.80/253,996.80 = 120,395.20/x
  3. Step 3: Cross multiply
    184,058.80x = 253,996.80 × 120,395.20
  4. Step 4: Simplify right side
    184,058.80x = 30,579,995,535.36
  5. Step 5: Solve for x
    x = 30,579,995,535.36/184,058.80
  6. Step 6: Final answer
    x = 166,142.53

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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.