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Finding the Fourth Proportional to 277,747.56, 416,642.94 and 90,777.96

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Solution

The fourth proportional to 277,747.56, 416,642.94 and 90,777.96 is: 136,174.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,747.56 : 416,642.94 = 90,777.96 : x
  2. Step 2: Convert to fraction form
    277,747.56/416,642.94 = 90,777.96/x
  3. Step 3: Cross multiply
    277,747.56x = 416,642.94 × 90,777.96
  4. Step 4: Simplify right side
    277,747.56x = 37,821,996,141.60
  5. Step 5: Solve for x
    x = 37,821,996,141.60/277,747.56
  6. Step 6: Final answer
    x = 136,174.00

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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.