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Finding the Fourth Proportional to 257,002.80, 385,504.20 and 166,801.20

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Solution

The fourth proportional to 257,002.80, 385,504.20 and 166,801.20 is: 250,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,002.80 : 385,504.20 = 166,801.20 : x
  2. Step 2: Convert to fraction form
    257,002.80/385,504.20 = 166,801.20/x
  3. Step 3: Cross multiply
    257,002.80x = 385,504.20 × 166,801.20
  4. Step 4: Simplify right side
    257,002.80x = 64,302,563,165.04
  5. Step 5: Solve for x
    x = 64,302,563,165.04/257,002.80
  6. Step 6: Final answer
    x = 250,201.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.