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Finding the Fourth Proportional to 203,102.32, 304,169.91 and 117,532.78

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Solution

The fourth proportional to 203,102.32, 304,169.91 and 117,532.78 is: 176,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,102.32 : 304,169.91 = 117,532.78 : x
  2. Step 2: Convert to fraction form
    203,102.32/304,169.91 = 117,532.78/x
  3. Step 3: Cross multiply
    203,102.32x = 304,169.91 × 117,532.78
  4. Step 4: Simplify right side
    203,102.32x = 35,749,936,382.73
  5. Step 5: Solve for x
    x = 35,749,936,382.73/203,102.32
  6. Step 6: Final answer
    x = 176,019.34

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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.