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Finding the Fourth Proportional to 205,193.76, 283,172.16 and 128,716.08

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Solution

The fourth proportional to 205,193.76, 283,172.16 and 128,716.08 is: 177,631.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,193.76 : 283,172.16 = 128,716.08 : x
  2. Step 2: Convert to fraction form
    205,193.76/283,172.16 = 128,716.08/x
  3. Step 3: Cross multiply
    205,193.76x = 283,172.16 × 128,716.08
  4. Step 4: Simplify right side
    205,193.76x = 36,448,810,400.33
  5. Step 5: Solve for x
    x = 36,448,810,400.33/205,193.76
  6. Step 6: Final answer
    x = 177,631.18

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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.