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Finding the Fourth Proportional to 149,879.16, 224,929.61 and 70,993.56

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Solution

The fourth proportional to 149,879.16, 224,929.61 and 70,993.56 is: 106,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,879.16 : 224,929.61 = 70,993.56 : x
  2. Step 2: Convert to fraction form
    149,879.16/224,929.61 = 70,993.56/x
  3. Step 3: Cross multiply
    149,879.16x = 224,929.61 × 70,993.56
  4. Step 4: Simplify right side
    149,879.16x = 15,968,554,518.06
  5. Step 5: Solve for x
    x = 15,968,554,518.06/149,879.16
  6. Step 6: Final answer
    x = 106,542.86

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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.