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Finding the Fourth Proportional to 201,991.50, 302,986.74 and 59,847.84

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Solution

The fourth proportional to 201,991.50, 302,986.74 and 59,847.84 is: 89,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,991.50 : 302,986.74 = 59,847.84 : x
  2. Step 2: Convert to fraction form
    201,991.50/302,986.74 = 59,847.84/x
  3. Step 3: Cross multiply
    201,991.50x = 302,986.74 × 59,847.84
  4. Step 4: Simplify right side
    201,991.50x = 18,133,101,937.64
  5. Step 5: Solve for x
    x = 18,133,101,937.64/201,991.50
  6. Step 6: Final answer
    x = 89,771.61

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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.