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Finding the Fourth Proportional to 201,992.80, 302,548.56 and 166,534.24

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Solution

The fourth proportional to 201,992.80, 302,548.56 and 166,534.24 is: 249,438.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,992.80 : 302,548.56 = 166,534.24 : x
  2. Step 2: Convert to fraction form
    201,992.80/302,548.56 = 166,534.24/x
  3. Step 3: Cross multiply
    201,992.80x = 302,548.56 × 166,534.24
  4. Step 4: Simplify right side
    201,992.80x = 50,384,694,502.69
  5. Step 5: Solve for x
    x = 50,384,694,502.69/201,992.80
  6. Step 6: Final answer
    x = 249,438.07

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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.