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Finding the Fourth Proportional to 257,142.63, 384,150.24 and 166,446.53

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Solution

The fourth proportional to 257,142.63, 384,150.24 and 166,446.53 is: 248,657.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,142.63 : 384,150.24 = 166,446.53 : x
  2. Step 2: Convert to fraction form
    257,142.63/384,150.24 = 166,446.53/x
  3. Step 3: Cross multiply
    257,142.63x = 384,150.24 × 166,446.53
  4. Step 4: Simplify right side
    257,142.63x = 63,940,473,498.35
  5. Step 5: Solve for x
    x = 63,940,473,498.35/257,142.63
  6. Step 6: Final answer
    x = 248,657.61

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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.