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Finding the Fourth Proportional to 145,204.95, 200,380.23 and 80,674.48

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Solution

The fourth proportional to 145,204.95, 200,380.23 and 80,674.48 is: 111,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,204.95 : 200,380.23 = 80,674.48 : x
  2. Step 2: Convert to fraction form
    145,204.95/200,380.23 = 80,674.48/x
  3. Step 3: Cross multiply
    145,204.95x = 200,380.23 × 80,674.48
  4. Step 4: Simplify right side
    145,204.95x = 16,165,571,108.01
  5. Step 5: Solve for x
    x = 16,165,571,108.01/145,204.95
  6. Step 6: Final answer
    x = 111,329.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.