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Finding the Fourth Proportional to 205,361.91, 283,281.17 and 123,633.32

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Solution

The fourth proportional to 205,361.91, 283,281.17 and 123,633.32 is: 170,542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,361.91 : 283,281.17 = 123,633.32 : x
  2. Step 2: Convert to fraction form
    205,361.91/283,281.17 = 123,633.32/x
  3. Step 3: Cross multiply
    205,361.91x = 283,281.17 × 123,633.32
  4. Step 4: Simplify right side
    205,361.91x = 35,022,989,506.01
  5. Step 5: Solve for x
    x = 35,022,989,506.01/205,361.91
  6. Step 6: Final answer
    x = 170,542.77

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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.