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Finding the Fourth Proportional to 257,136.21, 354,885.17 and 143,966.25

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Solution

The fourth proportional to 257,136.21, 354,885.17 and 143,966.25 is: 198,694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,136.21 : 354,885.17 = 143,966.25 : x
  2. Step 2: Convert to fraction form
    257,136.21/354,885.17 = 143,966.25/x
  3. Step 3: Cross multiply
    257,136.21x = 354,885.17 × 143,966.25
  4. Step 4: Simplify right side
    257,136.21x = 51,091,486,385.68
  5. Step 5: Solve for x
    x = 51,091,486,385.68/257,136.21
  6. Step 6: Final answer
    x = 198,694.25

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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.