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Finding the Fourth Proportional to 270,506.52, 405,796.64 and 112,698

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Solution

The fourth proportional to 270,506.52, 405,796.64 and 112,698 is: 169,062.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,506.52 : 405,796.64 = 112,698 : x
  2. Step 2: Convert to fraction form
    270,506.52/405,796.64 = 112,698/x
  3. Step 3: Cross multiply
    270,506.52x = 405,796.64 × 112,698
  4. Step 4: Simplify right side
    270,506.52x = 45,732,469,171.23
  5. Step 5: Solve for x
    x = 45,732,469,171.23/270,506.52
  6. Step 6: Final answer
    x = 169,062.35

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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.