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Finding the Fourth Proportional to 277,136.57, 382,451.97 and 168,209.39

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Solution

The fourth proportional to 277,136.57, 382,451.97 and 168,209.39 is: 232,131.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,136.57 : 382,451.97 = 168,209.39 : x
  2. Step 2: Convert to fraction form
    277,136.57/382,451.97 = 168,209.39/x
  3. Step 3: Cross multiply
    277,136.57x = 382,451.97 × 168,209.39
  4. Step 4: Simplify right side
    277,136.57x = 64,332,010,665.74
  5. Step 5: Solve for x
    x = 64,332,010,665.74/277,136.57
  6. Step 6: Final answer
    x = 232,131.08

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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.