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Finding the Fourth Proportional to 277,486.90, 416,183.45 and 77,761.35

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Solution

The fourth proportional to 277,486.90, 416,183.45 and 77,761.35 is: 116,628.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,486.90 : 416,183.45 = 77,761.35 : x
  2. Step 2: Convert to fraction form
    277,486.90/416,183.45 = 77,761.35/x
  3. Step 3: Cross multiply
    277,486.90x = 416,183.45 × 77,761.35
  4. Step 4: Simplify right side
    277,486.90x = 32,362,986,919.66
  5. Step 5: Solve for x
    x = 32,362,986,919.66/277,486.90
  6. Step 6: Final answer
    x = 116,628.88

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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.