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Finding the Fourth Proportional to 200,541.07, 300,762.06 and 88,249.42

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Solution

The fourth proportional to 200,541.07, 300,762.06 and 88,249.42 is: 132,352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,541.07 : 300,762.06 = 88,249.42 : x
  2. Step 2: Convert to fraction form
    200,541.07/300,762.06 = 88,249.42/x
  3. Step 3: Cross multiply
    200,541.07x = 300,762.06 × 88,249.42
  4. Step 4: Simplify right side
    200,541.07x = 26,542,077,353.01
  5. Step 5: Solve for x
    x = 26,542,077,353.01/200,541.07
  6. Step 6: Final answer
    x = 132,352.33

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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.