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Finding the Fourth Proportional to 200,589.54, 300,883.78 and 50,829.40

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Solution

The fourth proportional to 200,589.54, 300,883.78 and 50,829.40 is: 76,243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,589.54 : 300,883.78 = 50,829.40 : x
  2. Step 2: Convert to fraction form
    200,589.54/300,883.78 = 50,829.40/x
  3. Step 3: Cross multiply
    200,589.54x = 300,883.78 × 50,829.40
  4. Step 4: Simplify right side
    200,589.54x = 15,293,742,007.13
  5. Step 5: Solve for x
    x = 15,293,742,007.13/200,589.54
  6. Step 6: Final answer
    x = 76,243.97

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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.