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Finding the Fourth Proportional to 201,882.80, 302,496.15 and 168,421.70

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Solution

The fourth proportional to 201,882.80, 302,496.15 and 168,421.70 is: 252,358.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,882.80 : 302,496.15 = 168,421.70 : x
  2. Step 2: Convert to fraction form
    201,882.80/302,496.15 = 168,421.70/x
  3. Step 3: Cross multiply
    201,882.80x = 302,496.15 × 168,421.70
  4. Step 4: Simplify right side
    201,882.80x = 50,946,915,826.46
  5. Step 5: Solve for x
    x = 50,946,915,826.46/201,882.80
  6. Step 6: Final answer
    x = 252,358.87

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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.