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Finding the Fourth Proportional to 279,983.80, 419,975.70 and 140,015.80

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Solution

The fourth proportional to 279,983.80, 419,975.70 and 140,015.80 is: 210,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,983.80 : 419,975.70 = 140,015.80 : x
  2. Step 2: Convert to fraction form
    279,983.80/419,975.70 = 140,015.80/x
  3. Step 3: Cross multiply
    279,983.80x = 419,975.70 × 140,015.80
  4. Step 4: Simplify right side
    279,983.80x = 58,803,233,616.06
  5. Step 5: Solve for x
    x = 58,803,233,616.06/279,983.80
  6. Step 6: Final answer
    x = 210,023.70

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1.5x scale

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.