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Finding the Fourth Proportional to 80,485.60, 120,186.32 and 65,723.32

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Solution

The fourth proportional to 80,485.60, 120,186.32 and 65,723.32 is: 98,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,485.60 : 120,186.32 = 65,723.32 : x
  2. Step 2: Convert to fraction form
    80,485.60/120,186.32 = 65,723.32/x
  3. Step 3: Cross multiply
    80,485.60x = 120,186.32 × 65,723.32
  4. Step 4: Simplify right side
    80,485.60x = 7,899,043,968.98
  5. Step 5: Solve for x
    x = 7,899,043,968.98/80,485.60
  6. Step 6: Final answer
    x = 98,142.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.