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Finding the Fourth Proportional to 208,940.42, 313,404.63 and 59,180.43

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Solution

The fourth proportional to 208,940.42, 313,404.63 and 59,180.43 is: 88,768.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,940.42 : 313,404.63 = 59,180.43 : x
  2. Step 2: Convert to fraction form
    208,940.42/313,404.63 = 59,180.43/x
  3. Step 3: Cross multiply
    208,940.42x = 313,404.63 × 59,180.43
  4. Step 4: Simplify right side
    208,940.42x = 18,547,420,767.39
  5. Step 5: Solve for x
    x = 18,547,420,767.39/208,940.42
  6. Step 6: Final answer
    x = 88,768.95

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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.