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Finding the Fourth Proportional to 277,781.49, 416,586.06 and 100,265.40

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Solution

The fourth proportional to 277,781.49, 416,586.06 and 100,265.40 is: 150,367.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,781.49 : 416,586.06 = 100,265.40 : x
  2. Step 2: Convert to fraction form
    277,781.49/416,586.06 = 100,265.40/x
  3. Step 3: Cross multiply
    277,781.49x = 416,586.06 × 100,265.40
  4. Step 4: Simplify right side
    277,781.49x = 41,769,167,940.32
  5. Step 5: Solve for x
    x = 41,769,167,940.32/277,781.49
  6. Step 6: Final answer
    x = 150,367.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.