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Finding the Fourth Proportional to 200,201.88, 300,386.52 and 87,824.10

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Solution

The fourth proportional to 200,201.88, 300,386.52 and 87,824.10 is: 131,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,201.88 : 300,386.52 = 87,824.10 : x
  2. Step 2: Convert to fraction form
    200,201.88/300,386.52 = 87,824.10/x
  3. Step 3: Cross multiply
    200,201.88x = 300,386.52 × 87,824.10
  4. Step 4: Simplify right side
    200,201.88x = 26,381,175,771.13
  5. Step 5: Solve for x
    x = 26,381,175,771.13/200,201.88
  6. Step 6: Final answer
    x = 131,772.87

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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.