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Finding the Fourth Proportional to 200,674.10, 301,011.63 and 50,914.10

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Solution

The fourth proportional to 200,674.10, 301,011.63 and 50,914.10 is: 76,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,674.10 : 301,011.63 = 50,914.10 : x
  2. Step 2: Convert to fraction form
    200,674.10/301,011.63 = 50,914.10/x
  3. Step 3: Cross multiply
    200,674.10x = 301,011.63 × 50,914.10
  4. Step 4: Simplify right side
    200,674.10x = 15,325,736,230.98
  5. Step 5: Solve for x
    x = 15,325,736,230.98/200,674.10
  6. Step 6: Final answer
    x = 76,371.27

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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.