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Finding the Fourth Proportional to 288,195.90, 397,697.67 and 160,868.94

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Solution

The fourth proportional to 288,195.90, 397,697.67 and 160,868.94 is: 221,992.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,195.90 : 397,697.67 = 160,868.94 : x
  2. Step 2: Convert to fraction form
    288,195.90/397,697.67 = 160,868.94/x
  3. Step 3: Cross multiply
    288,195.90x = 397,697.67 × 160,868.94
  4. Step 4: Simplify right side
    288,195.90x = 63,977,202,613.37
  5. Step 5: Solve for x
    x = 63,977,202,613.37/288,195.90
  6. Step 6: Final answer
    x = 221,992.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.