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Finding the Fourth Proportional to 131,082, 196,573.08 and 46,826.40

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Solution

The fourth proportional to 131,082, 196,573.08 and 46,826.40 is: 70,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,082 : 196,573.08 = 46,826.40 : x
  2. Step 2: Convert to fraction form
    131,082/196,573.08 = 46,826.40/x
  3. Step 3: Cross multiply
    131,082x = 196,573.08 × 46,826.40
  4. Step 4: Simplify right side
    131,082x = 9,204,809,673.31
  5. Step 5: Solve for x
    x = 9,204,809,673.31/131,082
  6. Step 6: Final answer
    x = 70,221.77

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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.