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Finding the Fourth Proportional to 201,839.80, 302,322.30 and 166,847.80

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Solution

The fourth proportional to 201,839.80, 302,322.30 and 166,847.80 is: 249,910.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,839.80 : 302,322.30 = 166,847.80 : x
  2. Step 2: Convert to fraction form
    201,839.80/302,322.30 = 166,847.80/x
  3. Step 3: Cross multiply
    201,839.80x = 302,322.30 × 166,847.80
  4. Step 4: Simplify right side
    201,839.80x = 50,441,810,645.94
  5. Step 5: Solve for x
    x = 50,441,810,645.94/201,839.80
  6. Step 6: Final answer
    x = 249,910.13

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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.