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Finding the Fourth Proportional to 208,693.60, 313,213.20 and 96,546.40

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Solution

The fourth proportional to 208,693.60, 313,213.20 and 96,546.40 is: 144,899.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,693.60 : 313,213.20 = 96,546.40 : x
  2. Step 2: Convert to fraction form
    208,693.60/313,213.20 = 96,546.40/x
  3. Step 3: Cross multiply
    208,693.60x = 313,213.20 × 96,546.40
  4. Step 4: Simplify right side
    208,693.60x = 30,239,606,892.48
  5. Step 5: Solve for x
    x = 30,239,606,892.48/208,693.60
  6. Step 6: Final answer
    x = 144,899.54

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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.