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Finding the Fourth Proportional to 257,090.40, 385,520.40 and 99,266.40

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Solution

The fourth proportional to 257,090.40, 385,520.40 and 99,266.40 is: 148,855.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,090.40 : 385,520.40 = 99,266.40 : x
  2. Step 2: Convert to fraction form
    257,090.40/385,520.40 = 99,266.40/x
  3. Step 3: Cross multiply
    257,090.40x = 385,520.40 × 99,266.40
  4. Step 4: Simplify right side
    257,090.40x = 38,269,222,234.56
  5. Step 5: Solve for x
    x = 38,269,222,234.56/257,090.40
  6. Step 6: Final answer
    x = 148,855.12

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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.