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Finding the Fourth Proportional to 203,834.96, 305,750.46 and 123,894.98

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Solution

The fourth proportional to 203,834.96, 305,750.46 and 123,894.98 is: 185,841.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,834.96 : 305,750.46 = 123,894.98 : x
  2. Step 2: Convert to fraction form
    203,834.96/305,750.46 = 123,894.98/x
  3. Step 3: Cross multiply
    203,834.96x = 305,750.46 × 123,894.98
  4. Step 4: Simplify right side
    203,834.96x = 37,880,947,126.69
  5. Step 5: Solve for x
    x = 37,880,947,126.69/203,834.96
  6. Step 6: Final answer
    x = 185,841.27

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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.