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Finding the Fourth Proportional to 274,361.88, 411,558.66 and 105,883.08

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Solution

The fourth proportional to 274,361.88, 411,558.66 and 105,883.08 is: 158,830.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,361.88 : 411,558.66 = 105,883.08 : x
  2. Step 2: Convert to fraction form
    274,361.88/411,558.66 = 105,883.08/x
  3. Step 3: Cross multiply
    274,361.88x = 411,558.66 × 105,883.08
  4. Step 4: Simplify right side
    274,361.88x = 43,577,098,521.47
  5. Step 5: Solve for x
    x = 43,577,098,521.47/274,361.88
  6. Step 6: Final answer
    x = 158,830.73

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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.