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Finding the Fourth Proportional to 205,486.56, 283,491.36 and 128,961

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Solution

The fourth proportional to 205,486.56, 283,491.36 and 128,961 is: 177,915.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,486.56 : 283,491.36 = 128,961 : x
  2. Step 2: Convert to fraction form
    205,486.56/283,491.36 = 128,961/x
  3. Step 3: Cross multiply
    205,486.56x = 283,491.36 × 128,961
  4. Step 4: Simplify right side
    205,486.56x = 36,559,329,276.96
  5. Step 5: Solve for x
    x = 36,559,329,276.96/205,486.56
  6. Step 6: Final answer
    x = 177,915.91

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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.