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Finding the Fourth Proportional to 264,481.48, 364,977.30 and 143,617.24

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Solution

The fourth proportional to 264,481.48, 364,977.30 and 143,617.24 is: 198,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,481.48 : 364,977.30 = 143,617.24 : x
  2. Step 2: Convert to fraction form
    264,481.48/364,977.30 = 143,617.24/x
  3. Step 3: Cross multiply
    264,481.48x = 364,977.30 × 143,617.24
  4. Step 4: Simplify right side
    264,481.48x = 52,417,032,488.65
  5. Step 5: Solve for x
    x = 52,417,032,488.65/264,481.48
  6. Step 6: Final answer
    x = 198,187.91

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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.