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Finding the Fourth Proportional to 107,449.62, 161,199.65 and 105,664.49

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Solution

The fourth proportional to 107,449.62, 161,199.65 and 105,664.49 is: 158,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,449.62 : 161,199.65 = 105,664.49 : x
  2. Step 2: Convert to fraction form
    107,449.62/161,199.65 = 105,664.49/x
  3. Step 3: Cross multiply
    107,449.62x = 161,199.65 × 105,664.49
  4. Step 4: Simplify right side
    107,449.62x = 17,033,078,805.43
  5. Step 5: Solve for x
    x = 17,033,078,805.43/107,449.62
  6. Step 6: Final answer
    x = 158,521.54

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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.