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Finding the Fourth Proportional to 109,469.37, 150,980.26 and 75,470.06

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Solution

The fourth proportional to 109,469.37, 150,980.26 and 75,470.06 is: 104,088.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,469.37 : 150,980.26 = 75,470.06 : x
  2. Step 2: Convert to fraction form
    109,469.37/150,980.26 = 75,470.06/x
  3. Step 3: Cross multiply
    109,469.37x = 150,980.26 × 75,470.06
  4. Step 4: Simplify right side
    109,469.37x = 11,394,489,281.02
  5. Step 5: Solve for x
    x = 11,394,489,281.02/109,469.37
  6. Step 6: Final answer
    x = 104,088.38

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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.