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Finding the Fourth Proportional to 277,605.84, 383,081.46 and 162,868.50

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Solution

The fourth proportional to 277,605.84, 383,081.46 and 162,868.50 is: 224,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,605.84 : 383,081.46 = 162,868.50 : x
  2. Step 2: Convert to fraction form
    277,605.84/383,081.46 = 162,868.50/x
  3. Step 3: Cross multiply
    277,605.84x = 383,081.46 × 162,868.50
  4. Step 4: Simplify right side
    277,605.84x = 62,391,902,768.01
  5. Step 5: Solve for x
    x = 62,391,902,768.01/277,605.84
  6. Step 6: Final answer
    x = 224,749.96

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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.