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Finding the Fourth Proportional to 208,765.80, 313,169.20 and 59,007.24

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Solution

The fourth proportional to 208,765.80, 313,169.20 and 59,007.24 is: 88,516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,765.80 : 313,169.20 = 59,007.24 : x
  2. Step 2: Convert to fraction form
    208,765.80/313,169.20 = 59,007.24/x
  3. Step 3: Cross multiply
    208,765.80x = 313,169.20 × 59,007.24
  4. Step 4: Simplify right side
    208,765.80x = 18,479,250,145.01
  5. Step 5: Solve for x
    x = 18,479,250,145.01/208,765.80
  6. Step 6: Final answer
    x = 88,516.65

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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.