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Finding the Fourth Proportional to 208,977.66, 313,384.68 and 73,989.60

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Solution

The fourth proportional to 208,977.66, 313,384.68 and 73,989.60 is: 110,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,977.66 : 313,384.68 = 73,989.60 : x
  2. Step 2: Convert to fraction form
    208,977.66/313,384.68 = 73,989.60/x
  3. Step 3: Cross multiply
    208,977.66x = 313,384.68 × 73,989.60
  4. Step 4: Simplify right side
    208,977.66x = 23,187,207,119.33
  5. Step 5: Solve for x
    x = 23,187,207,119.33/208,977.66
  6. Step 6: Final answer
    x = 110,955.43

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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.