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Finding the Fourth Proportional to 277,644.84, 416,161.59 and 181,542.42

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Solution

The fourth proportional to 277,644.84, 416,161.59 and 181,542.42 is: 272,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,644.84 : 416,161.59 = 181,542.42 : x
  2. Step 2: Convert to fraction form
    277,644.84/416,161.59 = 181,542.42/x
  3. Step 3: Cross multiply
    277,644.84x = 416,161.59 × 181,542.42
  4. Step 4: Simplify right side
    277,644.84x = 75,550,984,181.08
  5. Step 5: Solve for x
    x = 75,550,984,181.08/277,644.84
  6. Step 6: Final answer
    x = 272,113.77

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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.