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Finding the Fourth Proportional to 231,843.42, 347,894.34 and 125,225.22

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Solution

The fourth proportional to 231,843.42, 347,894.34 and 125,225.22 is: 187,907.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,843.42 : 347,894.34 = 125,225.22 : x
  2. Step 2: Convert to fraction form
    231,843.42/347,894.34 = 125,225.22/x
  3. Step 3: Cross multiply
    231,843.42x = 347,894.34 × 125,225.22
  4. Step 4: Simplify right side
    231,843.42x = 43,565,145,263.25
  5. Step 5: Solve for x
    x = 43,565,145,263.25/231,843.42
  6. Step 6: Final answer
    x = 187,907.62

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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.