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Finding the Fourth Proportional to 231,782.40, 347,270.40 and 106,867.20

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Solution

The fourth proportional to 231,782.40, 347,270.40 and 106,867.20 is: 160,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,782.40 : 347,270.40 = 106,867.20 : x
  2. Step 2: Convert to fraction form
    231,782.40/347,270.40 = 106,867.20/x
  3. Step 3: Cross multiply
    231,782.40x = 347,270.40 × 106,867.20
  4. Step 4: Simplify right side
    231,782.40x = 37,111,815,290.88
  5. Step 5: Solve for x
    x = 37,111,815,290.88/231,782.40
  6. Step 6: Final answer
    x = 160,114.90

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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.