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Finding the Fourth Proportional to 209,218.52, 313,872.24 and 59,504.60

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Solution

The fourth proportional to 209,218.52, 313,872.24 and 59,504.60 is: 89,269.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,218.52 : 313,872.24 = 59,504.60 : x
  2. Step 2: Convert to fraction form
    209,218.52/313,872.24 = 59,504.60/x
  3. Step 3: Cross multiply
    209,218.52x = 313,872.24 × 59,504.60
  4. Step 4: Simplify right side
    209,218.52x = 18,676,842,092.30
  5. Step 5: Solve for x
    x = 18,676,842,092.30/209,218.52
  6. Step 6: Final answer
    x = 89,269.55

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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.