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Finding the Fourth Proportional to 360,102, 496,940.76 and 201,126

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Solution

The fourth proportional to 360,102, 496,940.76 and 201,126 is: 277,553.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,102 : 496,940.76 = 201,126 : x
  2. Step 2: Convert to fraction form
    360,102/496,940.76 = 201,126/x
  3. Step 3: Cross multiply
    360,102x = 496,940.76 × 201,126
  4. Step 4: Simplify right side
    360,102x = 99,947,707,295.76
  5. Step 5: Solve for x
    x = 99,947,707,295.76/360,102
  6. Step 6: Final answer
    x = 277,553.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.