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Finding the Fourth Proportional to 232,867.50, 321,357.15 and 126,883.50

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Solution

The fourth proportional to 232,867.50, 321,357.15 and 126,883.50 is: 175,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,867.50 : 321,357.15 = 126,883.50 : x
  2. Step 2: Convert to fraction form
    232,867.50/321,357.15 = 126,883.50/x
  3. Step 3: Cross multiply
    232,867.50x = 321,357.15 × 126,883.50
  4. Step 4: Simplify right side
    232,867.50x = 40,774,919,942.03
  5. Step 5: Solve for x
    x = 40,774,919,942.03/232,867.50
  6. Step 6: Final answer
    x = 175,099.23

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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.