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Finding the Fourth Proportional to 277,514.58, 382,971.04 and 150,190.17

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Solution

The fourth proportional to 277,514.58, 382,971.04 and 150,190.17 is: 207,262.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,514.58 : 382,971.04 = 150,190.17 : x
  2. Step 2: Convert to fraction form
    277,514.58/382,971.04 = 150,190.17/x
  3. Step 3: Cross multiply
    277,514.58x = 382,971.04 × 150,190.17
  4. Step 4: Simplify right side
    277,514.58x = 57,518,487,022.38
  5. Step 5: Solve for x
    x = 57,518,487,022.38/277,514.58
  6. Step 6: Final answer
    x = 207,262.94

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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.