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Finding the Fourth Proportional to 230,872.68, 345,914.82 and 125,503.56

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Solution

The fourth proportional to 230,872.68, 345,914.82 and 125,503.56 is: 188,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,872.68 : 345,914.82 = 125,503.56 : x
  2. Step 2: Convert to fraction form
    230,872.68/345,914.82 = 125,503.56/x
  3. Step 3: Cross multiply
    230,872.68x = 345,914.82 × 125,503.56
  4. Step 4: Simplify right side
    230,872.68x = 43,413,541,366.76
  5. Step 5: Solve for x
    x = 43,413,541,366.76/230,872.68
  6. Step 6: Final answer
    x = 188,041.05

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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.