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Finding the Fourth Proportional to 200,674.89, 276,724.62 and 140,223.48

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Solution

The fourth proportional to 200,674.89, 276,724.62 and 140,223.48 is: 193,363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,674.89 : 276,724.62 = 140,223.48 : x
  2. Step 2: Convert to fraction form
    200,674.89/276,724.62 = 140,223.48/x
  3. Step 3: Cross multiply
    200,674.89x = 276,724.62 × 140,223.48
  4. Step 4: Simplify right side
    200,674.89x = 38,803,289,218.08
  5. Step 5: Solve for x
    x = 38,803,289,218.08/200,674.89
  6. Step 6: Final answer
    x = 193,363.95

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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.