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Finding the Fourth Proportional to 105,588.41, 158,255.93 and 73,825.28

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Solution

The fourth proportional to 105,588.41, 158,255.93 and 73,825.28 is: 110,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,588.41 : 158,255.93 = 73,825.28 : x
  2. Step 2: Convert to fraction form
    105,588.41/158,255.93 = 73,825.28/x
  3. Step 3: Cross multiply
    105,588.41x = 158,255.93 × 73,825.28
  4. Step 4: Simplify right side
    105,588.41x = 11,683,287,183.50
  5. Step 5: Solve for x
    x = 11,683,287,183.50/105,588.41
  6. Step 6: Final answer
    x = 110,649.34

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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.