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Finding the Fourth Proportional to 312,202.20, 468,324.23 and 109,774.07

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Solution

The fourth proportional to 312,202.20, 468,324.23 and 109,774.07 is: 164,668.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,202.20 : 468,324.23 = 109,774.07 : x
  2. Step 2: Convert to fraction form
    312,202.20/468,324.23 = 109,774.07/x
  3. Step 3: Cross multiply
    312,202.20x = 468,324.23 × 109,774.07
  4. Step 4: Simplify right side
    312,202.20x = 51,409,853,916.22
  5. Step 5: Solve for x
    x = 51,409,853,916.22/312,202.20
  6. Step 6: Final answer
    x = 164,668.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.