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Finding the Fourth Proportional to 205,642.80, 283,934.16 and 160,371.36

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Solution

The fourth proportional to 205,642.80, 283,934.16 and 160,371.36 is: 221,427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,642.80 : 283,934.16 = 160,371.36 : x
  2. Step 2: Convert to fraction form
    205,642.80/283,934.16 = 160,371.36/x
  3. Step 3: Cross multiply
    205,642.80x = 283,934.16 × 160,371.36
  4. Step 4: Simplify right side
    205,642.80x = 45,534,907,389.66
  5. Step 5: Solve for x
    x = 45,534,907,389.66/205,642.80
  6. Step 6: Final answer
    x = 221,427.19

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