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Finding the Fourth Proportional to 264,780.42, 397,045.81 and 96,181.89

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Solution

The fourth proportional to 264,780.42, 397,045.81 and 96,181.89 is: 144,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,780.42 : 397,045.81 = 96,181.89 : x
  2. Step 2: Convert to fraction form
    264,780.42/397,045.81 = 96,181.89/x
  3. Step 3: Cross multiply
    264,780.42x = 397,045.81 × 96,181.89
  4. Step 4: Simplify right side
    264,780.42x = 38,188,616,422.38
  5. Step 5: Solve for x
    x = 38,188,616,422.38/264,780.42
  6. Step 6: Final answer
    x = 144,227.49

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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.