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Finding the Fourth Proportional to 277,775.31, 416,687.57 and 78,097.43

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Solution

The fourth proportional to 277,775.31, 416,687.57 and 78,097.43 is: 117,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,775.31 : 416,687.57 = 78,097.43 : x
  2. Step 2: Convert to fraction form
    277,775.31/416,687.57 = 78,097.43/x
  3. Step 3: Cross multiply
    277,775.31x = 416,687.57 × 78,097.43
  4. Step 4: Simplify right side
    277,775.31x = 32,542,229,713.34
  5. Step 5: Solve for x
    x = 32,542,229,713.34/277,775.31
  6. Step 6: Final answer
    x = 117,153.07

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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.