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Finding the Fourth Proportional to 277,595.37, 383,053.14 and 161,290.71

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Solution

The fourth proportional to 277,595.37, 383,053.14 and 161,290.71 is: 222,564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,595.37 : 383,053.14 = 161,290.71 : x
  2. Step 2: Convert to fraction form
    277,595.37/383,053.14 = 161,290.71/x
  3. Step 3: Cross multiply
    277,595.37x = 383,053.14 × 161,290.71
  4. Step 4: Simplify right side
    277,595.37x = 61,782,912,918.33
  5. Step 5: Solve for x
    x = 61,782,912,918.33/277,595.37
  6. Step 6: Final answer
    x = 222,564.64

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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.