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Finding the Fourth Proportional to 277,832.34, 416,699.91 and 78,105.24

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Solution

The fourth proportional to 277,832.34, 416,699.91 and 78,105.24 is: 117,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,832.34 : 416,699.91 = 78,105.24 : x
  2. Step 2: Convert to fraction form
    277,832.34/416,699.91 = 78,105.24/x
  3. Step 3: Cross multiply
    277,832.34x = 416,699.91 × 78,105.24
  4. Step 4: Simplify right side
    277,832.34x = 32,546,446,478.53
  5. Step 5: Solve for x
    x = 32,546,446,478.53/277,832.34
  6. Step 6: Final answer
    x = 117,144.20

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