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Finding the Fourth Proportional to 213,984.48, 321,030 and 64,227.54

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Solution

The fourth proportional to 213,984.48, 321,030 and 64,227.54 is: 96,357.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,984.48 : 321,030 = 64,227.54 : x
  2. Step 2: Convert to fraction form
    213,984.48/321,030 = 64,227.54/x
  3. Step 3: Cross multiply
    213,984.48x = 321,030 × 64,227.54
  4. Step 4: Simplify right side
    213,984.48x = 20,618,967,166.20
  5. Step 5: Solve for x
    x = 20,618,967,166.20/213,984.48
  6. Step 6: Final answer
    x = 96,357.30

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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.