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Finding the Fourth Proportional to 277,378.38, 382,781.97 and 150,054.12

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Solution

The fourth proportional to 277,378.38, 382,781.97 and 150,054.12 is: 207,074.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,378.38 : 382,781.97 = 150,054.12 : x
  2. Step 2: Convert to fraction form
    277,378.38/382,781.97 = 150,054.12/x
  3. Step 3: Cross multiply
    277,378.38x = 382,781.97 × 150,054.12
  4. Step 4: Simplify right side
    277,378.38x = 57,438,011,660.22
  5. Step 5: Solve for x
    x = 57,438,011,660.22/277,378.38
  6. Step 6: Final answer
    x = 207,074.58

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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.