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Finding the Fourth Proportional to 154,033.76, 230,524.92 and 129,101.96

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Solution

The fourth proportional to 154,033.76, 230,524.92 and 129,101.96 is: 193,212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,033.76 : 230,524.92 = 129,101.96 : x
  2. Step 2: Convert to fraction form
    154,033.76/230,524.92 = 129,101.96/x
  3. Step 3: Cross multiply
    154,033.76x = 230,524.92 × 129,101.96
  4. Step 4: Simplify right side
    154,033.76x = 29,761,219,000.84
  5. Step 5: Solve for x
    x = 29,761,219,000.84/154,033.76
  6. Step 6: Final answer
    x = 193,212.31

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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.