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Finding the Fourth Proportional to 201,894.80, 302,514.15 and 168,433.70

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Solution

The fourth proportional to 201,894.80, 302,514.15 and 168,433.70 is: 252,376.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,894.80 : 302,514.15 = 168,433.70 : x
  2. Step 2: Convert to fraction form
    201,894.80/302,514.15 = 168,433.70/x
  3. Step 3: Cross multiply
    201,894.80x = 302,514.15 × 168,433.70
  4. Step 4: Simplify right side
    201,894.80x = 50,953,577,586.86
  5. Step 5: Solve for x
    x = 50,953,577,586.86/201,894.80
  6. Step 6: Final answer
    x = 252,376.87

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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.