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Finding the Fourth Proportional to 201,834.80, 302,314.80 and 166,842.80

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Solution

The fourth proportional to 201,834.80, 302,314.80 and 166,842.80 is: 249,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,834.80 : 302,314.80 = 166,842.80 : x
  2. Step 2: Convert to fraction form
    201,834.80/302,314.80 = 166,842.80/x
  3. Step 3: Cross multiply
    201,834.80x = 302,314.80 × 166,842.80
  4. Step 4: Simplify right side
    201,834.80x = 50,439,047,713.44
  5. Step 5: Solve for x
    x = 50,439,047,713.44/201,834.80
  6. Step 6: Final answer
    x = 249,902.63

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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.