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Finding the Fourth Proportional to 264,665.49, 396,757.62 and 96,113.40

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Solution

The fourth proportional to 264,665.49, 396,757.62 and 96,113.40 is: 144,082.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,665.49 : 396,757.62 = 96,113.40 : x
  2. Step 2: Convert to fraction form
    264,665.49/396,757.62 = 96,113.40/x
  3. Step 3: Cross multiply
    264,665.49x = 396,757.62 × 96,113.40
  4. Step 4: Simplify right side
    264,665.49x = 38,133,723,834.11
  5. Step 5: Solve for x
    x = 38,133,723,834.11/264,665.49
  6. Step 6: Final answer
    x = 144,082.72

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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.