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Finding the Fourth Proportional to 133,782.44, 200,673.45 and 73,808.01

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Solution

The fourth proportional to 133,782.44, 200,673.45 and 73,808.01 is: 110,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,782.44 : 200,673.45 = 73,808.01 : x
  2. Step 2: Convert to fraction form
    133,782.44/200,673.45 = 73,808.01/x
  3. Step 3: Cross multiply
    133,782.44x = 200,673.45 × 73,808.01
  4. Step 4: Simplify right side
    133,782.44x = 14,811,308,004.33
  5. Step 5: Solve for x
    x = 14,811,308,004.33/133,782.44
  6. Step 6: Final answer
    x = 110,711.90

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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.