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Finding the Fourth Proportional to 277,751.06, 416,648.19 and 90,781.46

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Solution

The fourth proportional to 277,751.06, 416,648.19 and 90,781.46 is: 136,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,751.06 : 416,648.19 = 90,781.46 : x
  2. Step 2: Convert to fraction form
    277,751.06/416,648.19 = 90,781.46/x
  3. Step 3: Cross multiply
    277,751.06x = 416,648.19 × 90,781.46
  4. Step 4: Simplify right side
    277,751.06x = 37,823,930,994.56
  5. Step 5: Solve for x
    x = 37,823,930,994.56/277,751.06
  6. Step 6: Final answer
    x = 136,179.25

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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.