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Finding the Fourth Proportional to 264,713.58, 397,027.70 and 96,227.10

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Solution

The fourth proportional to 264,713.58, 397,027.70 and 96,227.10 is: 144,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,713.58 : 397,027.70 = 96,227.10 : x
  2. Step 2: Convert to fraction form
    264,713.58/397,027.70 = 96,227.10/x
  3. Step 3: Cross multiply
    264,713.58x = 397,027.70 × 96,227.10
  4. Step 4: Simplify right side
    264,713.58x = 38,204,824,190.67
  5. Step 5: Solve for x
    x = 38,204,824,190.67/264,713.58
  6. Step 6: Final answer
    x = 144,325.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.