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Finding the Fourth Proportional to 133,450.24, 200,203.90 and 49,210.64

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Solution

The fourth proportional to 133,450.24, 200,203.90 and 49,210.64 is: 73,826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,450.24 : 200,203.90 = 49,210.64 : x
  2. Step 2: Convert to fraction form
    133,450.24/200,203.90 = 49,210.64/x
  3. Step 3: Cross multiply
    133,450.24x = 200,203.90 × 49,210.64
  4. Step 4: Simplify right side
    133,450.24x = 9,852,162,049.50
  5. Step 5: Solve for x
    x = 9,852,162,049.50/133,450.24
  6. Step 6: Final answer
    x = 73,826.48

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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.