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Finding the Fourth Proportional to 138,860.43, 191,628 and 78,431.79

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Solution

The fourth proportional to 138,860.43, 191,628 and 78,431.79 is: 108,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,860.43 : 191,628 = 78,431.79 : x
  2. Step 2: Convert to fraction form
    138,860.43/191,628 = 78,431.79/x
  3. Step 3: Cross multiply
    138,860.43x = 191,628 × 78,431.79
  4. Step 4: Simplify right side
    138,860.43x = 15,029,727,054.12
  5. Step 5: Solve for x
    x = 15,029,727,054.12/138,860.43
  6. Step 6: Final answer
    x = 108,236.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.