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Finding the Fourth Proportional to 201,757.25, 302,564.85 and 59,564.39

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Solution

The fourth proportional to 201,757.25, 302,564.85 and 59,564.39 is: 89,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,757.25 : 302,564.85 = 59,564.39 : x
  2. Step 2: Convert to fraction form
    201,757.25/302,564.85 = 59,564.39/x
  3. Step 3: Cross multiply
    201,757.25x = 302,564.85 × 59,564.39
  4. Step 4: Simplify right side
    201,757.25x = 18,022,089,212.87
  5. Step 5: Solve for x
    x = 18,022,089,212.87/201,757.25
  6. Step 6: Final answer
    x = 89,325.61

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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.