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Finding the Fourth Proportional to 277,294.34, 382,666.20 and 149,969.94

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Solution

The fourth proportional to 277,294.34, 382,666.20 and 149,969.94 is: 206,958.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,294.34 : 382,666.20 = 149,969.94 : x
  2. Step 2: Convert to fraction form
    277,294.34/382,666.20 = 149,969.94/x
  3. Step 3: Cross multiply
    277,294.34x = 382,666.20 × 149,969.94
  4. Step 4: Simplify right side
    277,294.34x = 57,388,427,054.03
  5. Step 5: Solve for x
    x = 57,388,427,054.03/277,294.34
  6. Step 6: Final answer
    x = 206,958.52

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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.