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Finding the Fourth Proportional to 264,806.31, 365,485.77 and 157,355.56

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Solution

The fourth proportional to 264,806.31, 365,485.77 and 157,355.56 is: 217,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,806.31 : 365,485.77 = 157,355.56 : x
  2. Step 2: Convert to fraction form
    264,806.31/365,485.77 = 157,355.56/x
  3. Step 3: Cross multiply
    264,806.31x = 365,485.77 × 157,355.56
  4. Step 4: Simplify right side
    264,806.31x = 57,511,218,467.24
  5. Step 5: Solve for x
    x = 57,511,218,467.24/264,806.31
  6. Step 6: Final answer
    x = 217,182.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.