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Finding the Fourth Proportional to 133,576.21, 200,046.27 and 77,297.68

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Solution

The fourth proportional to 133,576.21, 200,046.27 and 77,297.68 is: 115,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,576.21 : 200,046.27 = 77,297.68 : x
  2. Step 2: Convert to fraction form
    133,576.21/200,046.27 = 77,297.68/x
  3. Step 3: Cross multiply
    133,576.21x = 200,046.27 × 77,297.68
  4. Step 4: Simplify right side
    133,576.21x = 15,463,112,563.65
  5. Step 5: Solve for x
    x = 15,463,112,563.65/133,576.21
  6. Step 6: Final answer
    x = 115,762.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.