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Finding the Fourth Proportional to 209,308.98, 313,773.54 and 76,095.12

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Solution

The fourth proportional to 209,308.98, 313,773.54 and 76,095.12 is: 114,073.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,308.98 : 313,773.54 = 76,095.12 : x
  2. Step 2: Convert to fraction form
    209,308.98/313,773.54 = 76,095.12/x
  3. Step 3: Cross multiply
    209,308.98x = 313,773.54 × 76,095.12
  4. Step 4: Simplify right side
    209,308.98x = 23,876,635,179.12
  5. Step 5: Solve for x
    x = 23,876,635,179.12/209,308.98
  6. Step 6: Final answer
    x = 114,073.63

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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.