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Finding the Fourth Proportional to 300,212.30, 450,373.02 and 142,439.28

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Solution

The fourth proportional to 300,212.30, 450,373.02 and 142,439.28 is: 213,684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,212.30 : 450,373.02 = 142,439.28 : x
  2. Step 2: Convert to fraction form
    300,212.30/450,373.02 = 142,439.28/x
  3. Step 3: Cross multiply
    300,212.30x = 450,373.02 × 142,439.28
  4. Step 4: Simplify right side
    300,212.30x = 64,150,808,700.23
  5. Step 5: Solve for x
    x = 64,150,808,700.23/300,212.30
  6. Step 6: Final answer
    x = 213,684.81

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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.