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Finding the Fourth Proportional to 105,969.44, 158,919.06 and 42,773.24

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Solution

The fourth proportional to 105,969.44, 158,919.06 and 42,773.24 is: 64,145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,969.44 : 158,919.06 = 42,773.24 : x
  2. Step 2: Convert to fraction form
    105,969.44/158,919.06 = 42,773.24/x
  3. Step 3: Cross multiply
    105,969.44x = 158,919.06 × 42,773.24
  4. Step 4: Simplify right side
    105,969.44x = 6,797,483,093.95
  5. Step 5: Solve for x
    x = 6,797,483,093.95/105,969.44
  6. Step 6: Final answer
    x = 64,145.69

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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.