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Finding the Fourth Proportional to 164,809.98, 227,399.67 and 111,194.46

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Solution

The fourth proportional to 164,809.98, 227,399.67 and 111,194.46 is: 153,422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,809.98 : 227,399.67 = 111,194.46 : x
  2. Step 2: Convert to fraction form
    164,809.98/227,399.67 = 111,194.46/x
  3. Step 3: Cross multiply
    164,809.98x = 227,399.67 × 111,194.46
  4. Step 4: Simplify right side
    164,809.98x = 25,285,583,509.83
  5. Step 5: Solve for x
    x = 25,285,583,509.83/164,809.98
  6. Step 6: Final answer
    x = 153,422.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.