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Finding the Fourth Proportional to 122,965.20, 184,447.80 and 101,095.20

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Solution

The fourth proportional to 122,965.20, 184,447.80 and 101,095.20 is: 151,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,965.20 : 184,447.80 = 101,095.20 : x
  2. Step 2: Convert to fraction form
    122,965.20/184,447.80 = 101,095.20/x
  3. Step 3: Cross multiply
    122,965.20x = 184,447.80 × 101,095.20
  4. Step 4: Simplify right side
    122,965.20x = 18,646,787,230.56
  5. Step 5: Solve for x
    x = 18,646,787,230.56/122,965.20
  6. Step 6: Final answer
    x = 151,642.80

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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.