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Finding the Fourth Proportional to 200,584.45, 300,874.29 and 48,782.35

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Solution

The fourth proportional to 200,584.45, 300,874.29 and 48,782.35 is: 73,172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,584.45 : 300,874.29 = 48,782.35 : x
  2. Step 2: Convert to fraction form
    200,584.45/300,874.29 = 48,782.35/x
  3. Step 3: Cross multiply
    200,584.45x = 300,874.29 × 48,782.35
  4. Step 4: Simplify right side
    200,584.45x = 14,677,354,920.78
  5. Step 5: Solve for x
    x = 14,677,354,920.78/200,584.45
  6. Step 6: Final answer
    x = 73,172.94

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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.