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Finding the Fourth Proportional to 277,390.26, 382,797.62 and 150,065.88

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Solution

The fourth proportional to 277,390.26, 382,797.62 and 150,065.88 is: 207,090.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,390.26 : 382,797.62 = 150,065.88 : x
  2. Step 2: Convert to fraction form
    277,390.26/382,797.62 = 150,065.88/x
  3. Step 3: Cross multiply
    277,390.26x = 382,797.62 × 150,065.88
  4. Step 4: Simplify right side
    277,390.26x = 57,444,861,707.21
  5. Step 5: Solve for x
    x = 57,444,861,707.21/277,390.26
  6. Step 6: Final answer
    x = 207,090.41

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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.