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Finding the Fourth Proportional to 201,609.45, 302,414.18 and 164,284.65

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Solution

The fourth proportional to 201,609.45, 302,414.18 and 164,284.65 is: 246,426.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,609.45 : 302,414.18 = 164,284.65 : x
  2. Step 2: Convert to fraction form
    201,609.45/302,414.18 = 164,284.65/x
  3. Step 3: Cross multiply
    201,609.45x = 302,414.18 × 164,284.65
  4. Step 4: Simplify right side
    201,609.45x = 49,682,006,894.91
  5. Step 5: Solve for x
    x = 49,682,006,894.91/201,609.45
  6. Step 6: Final answer
    x = 246,426.98

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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.