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Finding the Fourth Proportional to 203,472, 305,208 and 78,813

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Solution

The fourth proportional to 203,472, 305,208 and 78,813 is: 118,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,472 : 305,208 = 78,813 : x
  2. Step 2: Convert to fraction form
    203,472/305,208 = 78,813/x
  3. Step 3: Cross multiply
    203,472x = 305,208 × 78,813
  4. Step 4: Simplify right side
    203,472x = 24,054,358,104
  5. Step 5: Solve for x
    x = 24,054,358,104/203,472
  6. Step 6: Final answer
    x = 118,219.50

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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.