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Finding the Fourth Proportional to 133,314.58, 199,972.06 and 53,388.54

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Solution

The fourth proportional to 133,314.58, 199,972.06 and 53,388.54 is: 80,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,314.58 : 199,972.06 = 53,388.54 : x
  2. Step 2: Convert to fraction form
    133,314.58/199,972.06 = 53,388.54/x
  3. Step 3: Cross multiply
    133,314.58x = 199,972.06 × 53,388.54
  4. Step 4: Simplify right side
    133,314.58x = 10,676,216,324.19
  5. Step 5: Solve for x
    x = 10,676,216,324.19/133,314.58
  6. Step 6: Final answer
    x = 80,082.89

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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.