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Finding the Fourth Proportional to 257,796.60, 386,723.70 and 80,302.20

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Solution

The fourth proportional to 257,796.60, 386,723.70 and 80,302.20 is: 120,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,796.60 : 386,723.70 = 80,302.20 : x
  2. Step 2: Convert to fraction form
    257,796.60/386,723.70 = 80,302.20/x
  3. Step 3: Cross multiply
    257,796.60x = 386,723.70 × 80,302.20
  4. Step 4: Simplify right side
    257,796.60x = 31,054,763,902.14
  5. Step 5: Solve for x
    x = 31,054,763,902.14/257,796.60
  6. Step 6: Final answer
    x = 120,462.27

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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.