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Finding the Fourth Proportional to 257,136.17, 384,140.57 and 166,440.06

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Solution

The fourth proportional to 257,136.17, 384,140.57 and 166,440.06 is: 248,647.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,136.17 : 384,140.57 = 166,440.06 : x
  2. Step 2: Convert to fraction form
    257,136.17/384,140.57 = 166,440.06/x
  3. Step 3: Cross multiply
    257,136.17x = 384,140.57 × 166,440.06
  4. Step 4: Simplify right side
    257,136.17x = 63,936,378,687.03
  5. Step 5: Solve for x
    x = 63,936,378,687.03/257,136.17
  6. Step 6: Final answer
    x = 248,647.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.