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Finding the Fourth Proportional to 277,295.20, 382,667.39 and 149,970.76

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Solution

The fourth proportional to 277,295.20, 382,667.39 and 149,970.76 is: 206,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,295.20 : 382,667.39 = 149,970.76 : x
  2. Step 2: Convert to fraction form
    277,295.20/382,667.39 = 149,970.76/x
  3. Step 3: Cross multiply
    277,295.20x = 382,667.39 × 149,970.76
  4. Step 4: Simplify right side
    277,295.20x = 57,388,918,161.38
  5. Step 5: Solve for x
    x = 57,388,918,161.38/277,295.20
  6. Step 6: Final answer
    x = 206,959.65

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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.