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Finding the Fourth Proportional to 275,160.86, 412,741.32 and 181,644.74

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Solution

The fourth proportional to 275,160.86, 412,741.32 and 181,644.74 is: 272,467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,160.86 : 412,741.32 = 181,644.74 : x
  2. Step 2: Convert to fraction form
    275,160.86/412,741.32 = 181,644.74/x
  3. Step 3: Cross multiply
    275,160.86x = 412,741.32 × 181,644.74
  4. Step 4: Simplify right side
    275,160.86x = 74,972,289,758.66
  5. Step 5: Solve for x
    x = 74,972,289,758.66/275,160.86
  6. Step 6: Final answer
    x = 272,467.13

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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.