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Finding the Fourth Proportional to 326,977.16, 490,200.94 and 102,221.96

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Solution

The fourth proportional to 326,977.16, 490,200.94 and 102,221.96 is: 153,250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,977.16 : 490,200.94 = 102,221.96 : x
  2. Step 2: Convert to fraction form
    326,977.16/490,200.94 = 102,221.96/x
  3. Step 3: Cross multiply
    326,977.16x = 490,200.94 × 102,221.96
  4. Step 4: Simplify right side
    326,977.16x = 50,109,300,880.64
  5. Step 5: Solve for x
    x = 50,109,300,880.64/326,977.16
  6. Step 6: Final answer
    x = 153,250.16

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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.