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Finding the Fourth Proportional to 264,177, 396,323.82 and 97,965

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Solution

The fourth proportional to 264,177, 396,323.82 and 97,965 is: 146,969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,177 : 396,323.82 = 97,965 : x
  2. Step 2: Convert to fraction form
    264,177/396,323.82 = 97,965/x
  3. Step 3: Cross multiply
    264,177x = 396,323.82 × 97,965
  4. Step 4: Simplify right side
    264,177x = 38,825,863,026.30
  5. Step 5: Solve for x
    x = 38,825,863,026.30/264,177
  6. Step 6: Final answer
    x = 146,969.13

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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.