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Finding the Fourth Proportional to 205,561.26, 283,721.94 and 133,816.32

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Solution

The fourth proportional to 205,561.26, 283,721.94 and 133,816.32 is: 184,697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,561.26 : 283,721.94 = 133,816.32 : x
  2. Step 2: Convert to fraction form
    205,561.26/283,721.94 = 133,816.32/x
  3. Step 3: Cross multiply
    205,561.26x = 283,721.94 × 133,816.32
  4. Step 4: Simplify right side
    205,561.26x = 37,966,625,914.06
  5. Step 5: Solve for x
    x = 37,966,625,914.06/205,561.26
  6. Step 6: Final answer
    x = 184,697.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.