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Finding the Fourth Proportional to 231,255.48, 346,878.28 and 106,596.48

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Solution

The fourth proportional to 231,255.48, 346,878.28 and 106,596.48 is: 159,892.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,255.48 : 346,878.28 = 106,596.48 : x
  2. Step 2: Convert to fraction form
    231,255.48/346,878.28 = 106,596.48/x
  3. Step 3: Cross multiply
    231,255.48x = 346,878.28 × 106,596.48
  4. Step 4: Simplify right side
    231,255.48x = 36,976,003,636.45
  5. Step 5: Solve for x
    x = 36,976,003,636.45/231,255.48
  6. Step 6: Final answer
    x = 159,892.44

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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.