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Finding the Fourth Proportional to 208,784.56, 313,187.76 and 59,035.80

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Solution

The fourth proportional to 208,784.56, 313,187.76 and 59,035.80 is: 88,556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,784.56 : 313,187.76 = 59,035.80 : x
  2. Step 2: Convert to fraction form
    208,784.56/313,187.76 = 59,035.80/x
  3. Step 3: Cross multiply
    208,784.56x = 313,187.76 × 59,035.80
  4. Step 4: Simplify right side
    208,784.56x = 18,489,289,961.81
  5. Step 5: Solve for x
    x = 18,489,289,961.81/208,784.56
  6. Step 6: Final answer
    x = 88,556.79

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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.