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Finding the Fourth Proportional to 277,486.78, 382,932.75 and 150,162.34

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Solution

The fourth proportional to 277,486.78, 382,932.75 and 150,162.34 is: 207,224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,486.78 : 382,932.75 = 150,162.34 : x
  2. Step 2: Convert to fraction form
    277,486.78/382,932.75 = 150,162.34/x
  3. Step 3: Cross multiply
    277,486.78x = 382,932.75 × 150,162.34
  4. Step 4: Simplify right side
    277,486.78x = 57,502,077,802.64
  5. Step 5: Solve for x
    x = 57,502,077,802.64/277,486.78
  6. Step 6: Final answer
    x = 207,224.57

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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.