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Finding the Fourth Proportional to 257,090.40, 385,635.60 and 151,855.20

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Solution

The fourth proportional to 257,090.40, 385,635.60 and 151,855.20 is: 227,782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,090.40 : 385,635.60 = 151,855.20 : x
  2. Step 2: Convert to fraction form
    257,090.40/385,635.60 = 151,855.20/x
  3. Step 3: Cross multiply
    257,090.40x = 385,635.60 × 151,855.20
  4. Step 4: Simplify right side
    257,090.40x = 58,560,771,165.12
  5. Step 5: Solve for x
    x = 58,560,771,165.12/257,090.40
  6. Step 6: Final answer
    x = 227,782.80

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Why These Related Problems?

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