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Finding the Fourth Proportional to 207,976.40, 311,381.40 and 202,144.40

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Solution

The fourth proportional to 207,976.40, 311,381.40 and 202,144.40 is: 302,649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,976.40 : 311,381.40 = 202,144.40 : x
  2. Step 2: Convert to fraction form
    207,976.40/311,381.40 = 202,144.40/x
  3. Step 3: Cross multiply
    207,976.40x = 311,381.40 × 202,144.40
  4. Step 4: Simplify right side
    207,976.40x = 62,944,006,274.16
  5. Step 5: Solve for x
    x = 62,944,006,274.16/207,976.40
  6. Step 6: Final answer
    x = 302,649.75

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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.