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Finding the Fourth Proportional to 133,012.64, 199,299.72 and 119,294.48

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Solution

The fourth proportional to 133,012.64, 199,299.72 and 119,294.48 is: 178,745.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,012.64 : 199,299.72 = 119,294.48 : x
  2. Step 2: Convert to fraction form
    133,012.64/199,299.72 = 119,294.48/x
  3. Step 3: Cross multiply
    133,012.64x = 199,299.72 × 119,294.48
  4. Step 4: Simplify right side
    133,012.64x = 23,775,356,461.55
  5. Step 5: Solve for x
    x = 23,775,356,461.55/133,012.64
  6. Step 6: Final answer
    x = 178,745.09

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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.