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Finding the Fourth Proportional to 194,908.14, 292,310.46 and 76,580.46

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Solution

The fourth proportional to 194,908.14, 292,310.46 and 76,580.46 is: 114,850.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,908.14 : 292,310.46 = 76,580.46 : x
  2. Step 2: Convert to fraction form
    194,908.14/292,310.46 = 76,580.46/x
  3. Step 3: Cross multiply
    194,908.14x = 292,310.46 × 76,580.46
  4. Step 4: Simplify right side
    194,908.14x = 22,385,269,489.61
  5. Step 5: Solve for x
    x = 22,385,269,489.61/194,908.14
  6. Step 6: Final answer
    x = 114,850.36

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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.