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Finding the Fourth Proportional to 264,824.56, 397,111.98 and 96,226

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Solution

The fourth proportional to 264,824.56, 397,111.98 and 96,226 is: 144,293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,824.56 : 397,111.98 = 96,226 : x
  2. Step 2: Convert to fraction form
    264,824.56/397,111.98 = 96,226/x
  3. Step 3: Cross multiply
    264,824.56x = 397,111.98 × 96,226
  4. Step 4: Simplify right side
    264,824.56x = 38,212,497,387.48
  5. Step 5: Solve for x
    x = 38,212,497,387.48/264,824.56
  6. Step 6: Final answer
    x = 144,293.63

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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.