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Finding the Fourth Proportional to 105,466.44, 158,201.28 and 38,922.24

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Solution

The fourth proportional to 105,466.44, 158,201.28 and 38,922.24 is: 58,383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,466.44 : 158,201.28 = 38,922.24 : x
  2. Step 2: Convert to fraction form
    105,466.44/158,201.28 = 38,922.24/x
  3. Step 3: Cross multiply
    105,466.44x = 158,201.28 × 38,922.24
  4. Step 4: Simplify right side
    105,466.44x = 6,157,548,188.47
  5. Step 5: Solve for x
    x = 6,157,548,188.47/105,466.44
  6. Step 6: Final answer
    x = 58,383.96

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1.5x scale

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.