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Finding the Fourth Proportional to 277,138.55, 382,454.73 and 168,211.37

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Solution

The fourth proportional to 277,138.55, 382,454.73 and 168,211.37 is: 232,133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,138.55 : 382,454.73 = 168,211.37 : x
  2. Step 2: Convert to fraction form
    277,138.55/382,454.73 = 168,211.37/x
  3. Step 3: Cross multiply
    277,138.55x = 382,454.73 × 168,211.37
  4. Step 4: Simplify right side
    277,138.55x = 64,333,234,096.28
  5. Step 5: Solve for x
    x = 64,333,234,096.28/277,138.55
  6. Step 6: Final answer
    x = 232,133.83

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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.