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Finding the Fourth Proportional to 209,059.98, 313,542.72 and 96,678.66

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Solution

The fourth proportional to 209,059.98, 313,542.72 and 96,678.66 is: 144,996.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,059.98 : 313,542.72 = 96,678.66 : x
  2. Step 2: Convert to fraction form
    209,059.98/313,542.72 = 96,678.66/x
  3. Step 3: Cross multiply
    209,059.98x = 313,542.72 × 96,678.66
  4. Step 4: Simplify right side
    209,059.98x = 30,312,890,022.36
  5. Step 5: Solve for x
    x = 30,312,890,022.36/209,059.98
  6. Step 6: Final answer
    x = 144,996.14

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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.