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Finding the Fourth Proportional to 100,448.52, 150,770 and 73,876.20

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Solution

The fourth proportional to 100,448.52, 150,770 and 73,876.20 is: 110,885.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,448.52 : 150,770 = 73,876.20 : x
  2. Step 2: Convert to fraction form
    100,448.52/150,770 = 73,876.20/x
  3. Step 3: Cross multiply
    100,448.52x = 150,770 × 73,876.20
  4. Step 4: Simplify right side
    100,448.52x = 11,138,314,674
  5. Step 5: Solve for x
    x = 11,138,314,674/100,448.52
  6. Step 6: Final answer
    x = 110,885.80

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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.