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Finding the Fourth Proportional to 213,982.46, 321,027 and 64,225.52

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Solution

The fourth proportional to 213,982.46, 321,027 and 64,225.52 is: 96,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,982.46 : 321,027 = 64,225.52 : x
  2. Step 2: Convert to fraction form
    213,982.46/321,027 = 64,225.52/x
  3. Step 3: Cross multiply
    213,982.46x = 321,027 × 64,225.52
  4. Step 4: Simplify right side
    213,982.46x = 20,618,126,009.04
  5. Step 5: Solve for x
    x = 20,618,126,009.04/213,982.46
  6. Step 6: Final answer
    x = 96,354.28

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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.