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Finding the Fourth Proportional to 275,094.36, 412,641.54 and 181,578.24

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Solution

The fourth proportional to 275,094.36, 412,641.54 and 181,578.24 is: 272,367.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,094.36 : 412,641.54 = 181,578.24 : x
  2. Step 2: Convert to fraction form
    275,094.36/412,641.54 = 181,578.24/x
  3. Step 3: Cross multiply
    275,094.36x = 412,641.54 × 181,578.24
  4. Step 4: Simplify right side
    275,094.36x = 74,926,724,584.09
  5. Step 5: Solve for x
    x = 74,926,724,584.09/275,094.36
  6. Step 6: Final answer
    x = 272,367.36

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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.