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Finding the Fourth Proportional to 205,562.26, 283,723.32 and 133,817.32

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Solution

The fourth proportional to 205,562.26, 283,723.32 and 133,817.32 is: 184,698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,562.26 : 283,723.32 = 133,817.32 : x
  2. Step 2: Convert to fraction form
    205,562.26/283,723.32 = 133,817.32/x
  3. Step 3: Cross multiply
    205,562.26x = 283,723.32 × 133,817.32
  4. Step 4: Simplify right side
    205,562.26x = 37,967,094,303.90
  5. Step 5: Solve for x
    x = 37,967,094,303.90/205,562.26
  6. Step 6: Final answer
    x = 184,698.76

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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.