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Finding the Fourth Proportional to 122,705.80, 184,058.70 and 120,632.20

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Solution

The fourth proportional to 122,705.80, 184,058.70 and 120,632.20 is: 180,948.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,705.80 : 184,058.70 = 120,632.20 : x
  2. Step 2: Convert to fraction form
    122,705.80/184,058.70 = 120,632.20/x
  3. Step 3: Cross multiply
    122,705.80x = 184,058.70 × 120,632.20
  4. Step 4: Simplify right side
    122,705.80x = 22,203,405,910.14
  5. Step 5: Solve for x
    x = 22,203,405,910.14/122,705.80
  6. Step 6: Final answer
    x = 180,948.30

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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.