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Finding the Fourth Proportional to 200,015.20, 300,022.80 and 188,351.20

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Solution

The fourth proportional to 200,015.20, 300,022.80 and 188,351.20 is: 282,526.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,015.20 : 300,022.80 = 188,351.20 : x
  2. Step 2: Convert to fraction form
    200,015.20/300,022.80 = 188,351.20/x
  3. Step 3: Cross multiply
    200,015.20x = 300,022.80 × 188,351.20
  4. Step 4: Simplify right side
    200,015.20x = 56,509,654,407.36
  5. Step 5: Solve for x
    x = 56,509,654,407.36/200,015.20
  6. Step 6: Final answer
    x = 282,526.80

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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.