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Finding the Fourth Proportional to 133,912.41, 200,762.94 and 66,397.90

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Solution

The fourth proportional to 133,912.41, 200,762.94 and 66,397.90 is: 99,544.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,912.41 : 200,762.94 = 66,397.90 : x
  2. Step 2: Convert to fraction form
    133,912.41/200,762.94 = 66,397.90/x
  3. Step 3: Cross multiply
    133,912.41x = 200,762.94 × 66,397.90
  4. Step 4: Simplify right side
    133,912.41x = 13,330,237,613.83
  5. Step 5: Solve for x
    x = 13,330,237,613.83/133,912.41
  6. Step 6: Final answer
    x = 99,544.45

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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.