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Finding the Fourth Proportional to 277,185.98, 382,531.59 and 162,466.89

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Solution

The fourth proportional to 277,185.98, 382,531.59 and 162,466.89 is: 224,213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,185.98 : 382,531.59 = 162,466.89 : x
  2. Step 2: Convert to fraction form
    277,185.98/382,531.59 = 162,466.89/x
  3. Step 3: Cross multiply
    277,185.98x = 382,531.59 × 162,466.89
  4. Step 4: Simplify right side
    277,185.98x = 62,148,717,754.06
  5. Step 5: Solve for x
    x = 62,148,717,754.06/277,185.98
  6. Step 6: Final answer
    x = 224,213.07

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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.