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Finding the Fourth Proportional to 231,198.80, 346,711.80 and 160,869.20

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Solution

The fourth proportional to 231,198.80, 346,711.80 and 160,869.20 is: 241,243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,198.80 : 346,711.80 = 160,869.20 : x
  2. Step 2: Convert to fraction form
    231,198.80/346,711.80 = 160,869.20/x
  3. Step 3: Cross multiply
    231,198.80x = 346,711.80 × 160,869.20
  4. Step 4: Simplify right side
    231,198.80x = 55,775,249,896.56
  5. Step 5: Solve for x
    x = 55,775,249,896.56/231,198.80
  6. Step 6: Final answer
    x = 241,243.68

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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.