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Finding the Fourth Proportional to 274,109.27, 410,883.84 and 155,530.13

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Solution

The fourth proportional to 274,109.27, 410,883.84 and 155,530.13 is: 233,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,109.27 : 410,883.84 = 155,530.13 : x
  2. Step 2: Convert to fraction form
    274,109.27/410,883.84 = 155,530.13/x
  3. Step 3: Cross multiply
    274,109.27x = 410,883.84 × 155,530.13
  4. Step 4: Simplify right side
    274,109.27x = 63,904,814,995.68
  5. Step 5: Solve for x
    x = 63,904,814,995.68/274,109.27
  6. Step 6: Final answer
    x = 233,136.28

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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.