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Finding the Fourth Proportional to 200,014.80, 300,022.20 and 125,219.40

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Solution

The fourth proportional to 200,014.80, 300,022.20 and 125,219.40 is: 187,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,014.80 : 300,022.20 = 125,219.40 : x
  2. Step 2: Convert to fraction form
    200,014.80/300,022.20 = 125,219.40/x
  3. Step 3: Cross multiply
    200,014.80x = 300,022.20 × 125,219.40
  4. Step 4: Simplify right side
    200,014.80x = 37,568,599,870.68
  5. Step 5: Solve for x
    x = 37,568,599,870.68/200,014.80
  6. Step 6: Final answer
    x = 187,829.10

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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.