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Finding the Fourth Proportional to 277,697.21, 416,560.11 and 78,033.18

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Solution

The fourth proportional to 277,697.21, 416,560.11 and 78,033.18 is: 117,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,697.21 : 416,560.11 = 78,033.18 : x
  2. Step 2: Convert to fraction form
    277,697.21/416,560.11 = 78,033.18/x
  3. Step 3: Cross multiply
    277,697.21x = 416,560.11 × 78,033.18
  4. Step 4: Simplify right side
    277,697.21x = 32,505,508,018.67
  5. Step 5: Solve for x
    x = 32,505,508,018.67/277,697.21
  6. Step 6: Final answer
    x = 117,053.78

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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.