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Finding the Fourth Proportional to 225,817.50, 311,676.75 and 135,193.68

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Solution

The fourth proportional to 225,817.50, 311,676.75 and 135,193.68 is: 186,596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,817.50 : 311,676.75 = 135,193.68 : x
  2. Step 2: Convert to fraction form
    225,817.50/311,676.75 = 135,193.68/x
  3. Step 3: Cross multiply
    225,817.50x = 311,676.75 × 135,193.68
  4. Step 4: Simplify right side
    225,817.50x = 42,136,726,802.94
  5. Step 5: Solve for x
    x = 42,136,726,802.94/225,817.50
  6. Step 6: Final answer
    x = 186,596.37

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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.