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Finding the Fourth Proportional to 277,301.00, 382,675.32 and 149,976.56

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Solution

The fourth proportional to 277,301.00, 382,675.32 and 149,976.56 is: 206,967.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,301.00 : 382,675.32 = 149,976.56 : x
  2. Step 2: Convert to fraction form
    277,301.00/382,675.32 = 149,976.56/x
  3. Step 3: Cross multiply
    277,301.00x = 382,675.32 × 149,976.56
  4. Step 4: Simplify right side
    277,301.00x = 57,392,329,047.19
  5. Step 5: Solve for x
    x = 57,392,329,047.19/277,301.00
  6. Step 6: Final answer
    x = 206,967.62

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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.