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Finding the Fourth Proportional to 277,384, 382,790.31 and 150,059.29

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Solution

The fourth proportional to 277,384, 382,790.31 and 150,059.29 is: 207,082.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,384 : 382,790.31 = 150,059.29 : x
  2. Step 2: Convert to fraction form
    277,384/382,790.31 = 150,059.29/x
  3. Step 3: Cross multiply
    277,384x = 382,790.31 × 150,059.29
  4. Step 4: Simplify right side
    277,384x = 57,441,242,137.48
  5. Step 5: Solve for x
    x = 57,441,242,137.48/277,384
  6. Step 6: Final answer
    x = 207,082.03

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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.