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Finding the Fourth Proportional to 257,202.48, 385,662.78 and 79,660.20

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Solution

The fourth proportional to 257,202.48, 385,662.78 and 79,660.20 is: 119,446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,202.48 : 385,662.78 = 79,660.20 : x
  2. Step 2: Convert to fraction form
    257,202.48/385,662.78 = 79,660.20/x
  3. Step 3: Cross multiply
    257,202.48x = 385,662.78 × 79,660.20
  4. Step 4: Simplify right side
    257,202.48x = 30,721,974,187.36
  5. Step 5: Solve for x
    x = 30,721,974,187.36/257,202.48
  6. Step 6: Final answer
    x = 119,446.65

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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.