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Finding the Fourth Proportional to 208,388.76, 312,583.14 and 50,616.15

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Solution

The fourth proportional to 208,388.76, 312,583.14 and 50,616.15 is: 75,924.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,388.76 : 312,583.14 = 50,616.15 : x
  2. Step 2: Convert to fraction form
    208,388.76/312,583.14 = 50,616.15/x
  3. Step 3: Cross multiply
    208,388.76x = 312,583.14 × 50,616.15
  4. Step 4: Simplify right side
    208,388.76x = 15,821,755,101.71
  5. Step 5: Solve for x
    x = 15,821,755,101.71/208,388.76
  6. Step 6: Final answer
    x = 75,924.23

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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.