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Finding the Fourth Proportional to 277,415.22, 416,024.42 and 99,874.56

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Solution

The fourth proportional to 277,415.22, 416,024.42 and 99,874.56 is: 149,776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,415.22 : 416,024.42 = 99,874.56 : x
  2. Step 2: Convert to fraction form
    277,415.22/416,024.42 = 99,874.56/x
  3. Step 3: Cross multiply
    277,415.22x = 416,024.42 × 99,874.56
  4. Step 4: Simplify right side
    277,415.22x = 41,550,255,896.76
  5. Step 5: Solve for x
    x = 41,550,255,896.76/277,415.22
  6. Step 6: Final answer
    x = 149,776.41

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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.