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Finding the Fourth Proportional to 133,082.94, 199,458.27 and 66,542.09

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Solution

The fourth proportional to 133,082.94, 199,458.27 and 66,542.09 is: 99,730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,082.94 : 199,458.27 = 66,542.09 : x
  2. Step 2: Convert to fraction form
    133,082.94/199,458.27 = 66,542.09/x
  3. Step 3: Cross multiply
    133,082.94x = 199,458.27 × 66,542.09
  4. Step 4: Simplify right side
    133,082.94x = 13,272,370,652.23
  5. Step 5: Solve for x
    x = 13,272,370,652.23/133,082.94
  6. Step 6: Final answer
    x = 99,730.07

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