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Finding the Fourth Proportional to 105,920.88, 158,867.16 and 39,351.93

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Solution

The fourth proportional to 105,920.88, 158,867.16 and 39,351.93 is: 59,022.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,920.88 : 158,867.16 = 39,351.93 : x
  2. Step 2: Convert to fraction form
    105,920.88/158,867.16 = 39,351.93/x
  3. Step 3: Cross multiply
    105,920.88x = 158,867.16 × 39,351.93
  4. Step 4: Simplify right side
    105,920.88x = 6,251,729,359.62
  5. Step 5: Solve for x
    x = 6,251,729,359.62/105,920.88
  6. Step 6: Final answer
    x = 59,022.63

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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.