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Finding the Fourth Proportional to 201,895.30, 302,514.90 and 168,434.20

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Solution

The fourth proportional to 201,895.30, 302,514.90 and 168,434.20 is: 252,377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,895.30 : 302,514.90 = 168,434.20 : x
  2. Step 2: Convert to fraction form
    201,895.30/302,514.90 = 168,434.20/x
  3. Step 3: Cross multiply
    201,895.30x = 302,514.90 × 168,434.20
  4. Step 4: Simplify right side
    201,895.30x = 50,953,855,169.58
  5. Step 5: Solve for x
    x = 50,953,855,169.58/201,895.30
  6. Step 6: Final answer
    x = 252,377.62

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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.