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Finding the Fourth Proportional to 201,740.30, 302,522.94 and 68,584.82

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Solution

The fourth proportional to 201,740.30, 302,522.94 and 68,584.82 is: 102,847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,740.30 : 302,522.94 = 68,584.82 : x
  2. Step 2: Convert to fraction form
    201,740.30/302,522.94 = 68,584.82/x
  3. Step 3: Cross multiply
    201,740.30x = 302,522.94 × 68,584.82
  4. Step 4: Simplify right side
    201,740.30x = 20,748,481,385.77
  5. Step 5: Solve for x
    x = 20,748,481,385.77/201,740.30
  6. Step 6: Final answer
    x = 102,847.48

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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.