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Finding the Fourth Proportional to 201,993.80, 302,550.06 and 166,535.24

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Solution

The fourth proportional to 201,993.80, 302,550.06 and 166,535.24 is: 249,439.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,993.80 : 302,550.06 = 166,535.24 : x
  2. Step 2: Convert to fraction form
    201,993.80/302,550.06 = 166,535.24/x
  3. Step 3: Cross multiply
    201,993.80x = 302,550.06 × 166,535.24
  4. Step 4: Simplify right side
    201,993.80x = 50,385,246,854.11
  5. Step 5: Solve for x
    x = 50,385,246,854.11/201,993.80
  6. Step 6: Final answer
    x = 249,439.57

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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.