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Finding the Fourth Proportional to 245,431.20, 367,930.80 and 166,288.80

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Solution

The fourth proportional to 245,431.20, 367,930.80 and 166,288.80 is: 249,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,431.20 : 367,930.80 = 166,288.80 : x
  2. Step 2: Convert to fraction form
    245,431.20/367,930.80 = 166,288.80/x
  3. Step 3: Cross multiply
    245,431.20x = 367,930.80 × 166,288.80
  4. Step 4: Simplify right side
    245,431.20x = 61,182,771,215.04
  5. Step 5: Solve for x
    x = 61,182,771,215.04/245,431.20
  6. Step 6: Final answer
    x = 249,286.85

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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.