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Finding the Fourth Proportional to 207,491.41, 311,264.25 and 74,386.54

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Solution

The fourth proportional to 207,491.41, 311,264.25 and 74,386.54 is: 111,589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,491.41 : 311,264.25 = 74,386.54 : x
  2. Step 2: Convert to fraction form
    207,491.41/311,264.25 = 74,386.54/x
  3. Step 3: Cross multiply
    207,491.41x = 311,264.25 × 74,386.54
  4. Step 4: Simplify right side
    207,491.41x = 23,153,870,583.20
  5. Step 5: Solve for x
    x = 23,153,870,583.20/207,491.41
  6. Step 6: Final answer
    x = 111,589.54

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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.