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Finding the Fourth Proportional to 270,827.26, 406,194.72 and 81,236.23

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Solution

The fourth proportional to 270,827.26, 406,194.72 and 81,236.23 is: 121,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,827.26 : 406,194.72 = 81,236.23 : x
  2. Step 2: Convert to fraction form
    270,827.26/406,194.72 = 81,236.23/x
  3. Step 3: Cross multiply
    270,827.26x = 406,194.72 × 81,236.23
  4. Step 4: Simplify right side
    270,827.26x = 32,997,727,698.71
  5. Step 5: Solve for x
    x = 32,997,727,698.71/270,827.26
  6. Step 6: Final answer
    x = 121,840.50

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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.