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Finding the Fourth Proportional to 257,149.21, 385,693.10 and 67,624.34

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Solution

The fourth proportional to 257,149.21, 385,693.10 and 67,624.34 is: 101,428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,149.21 : 385,693.10 = 67,624.34 : x
  2. Step 2: Convert to fraction form
    257,149.21/385,693.10 = 67,624.34/x
  3. Step 3: Cross multiply
    257,149.21x = 385,693.10 × 67,624.34
  4. Step 4: Simplify right side
    257,149.21x = 26,082,241,330.05
  5. Step 5: Solve for x
    x = 26,082,241,330.05/257,149.21
  6. Step 6: Final answer
    x = 101,428.43

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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.