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Finding the Fourth Proportional to 274,539.94, 411,713.42 and 82,357.06

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Solution

The fourth proportional to 274,539.94, 411,713.42 and 82,357.06 is: 123,506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,539.94 : 411,713.42 = 82,357.06 : x
  2. Step 2: Convert to fraction form
    274,539.94/411,713.42 = 82,357.06/x
  3. Step 3: Cross multiply
    274,539.94x = 411,713.42 × 82,357.06
  4. Step 4: Simplify right side
    274,539.94x = 33,907,506,833.75
  5. Step 5: Solve for x
    x = 33,907,506,833.75/274,539.94
  6. Step 6: Final answer
    x = 123,506.64

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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.