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Finding the Fourth Proportional to 231,445.80, 347,045.22 and 109,738.44

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Solution

The fourth proportional to 231,445.80, 347,045.22 and 109,738.44 is: 164,549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,445.80 : 347,045.22 = 109,738.44 : x
  2. Step 2: Convert to fraction form
    231,445.80/347,045.22 = 109,738.44/x
  3. Step 3: Cross multiply
    231,445.80x = 347,045.22 × 109,738.44
  4. Step 4: Simplify right side
    231,445.80x = 38,084,201,052.26
  5. Step 5: Solve for x
    x = 38,084,201,052.26/231,445.80
  6. Step 6: Final answer
    x = 164,549.11

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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.