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Finding the Fourth Proportional to 186,902, 280,469.64 and 76,094

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Solution

The fourth proportional to 186,902, 280,469.64 and 76,094 is: 114,188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,902 : 280,469.64 = 76,094 : x
  2. Step 2: Convert to fraction form
    186,902/280,469.64 = 76,094/x
  3. Step 3: Cross multiply
    186,902x = 280,469.64 × 76,094
  4. Step 4: Simplify right side
    186,902x = 21,342,056,786.16
  5. Step 5: Solve for x
    x = 21,342,056,786.16/186,902
  6. Step 6: Final answer
    x = 114,188.49

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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.