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Finding the Fourth Proportional to 201,732.55, 302,511.34 and 68,577.10

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Solution

The fourth proportional to 201,732.55, 302,511.34 and 68,577.10 is: 102,835.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,732.55 : 302,511.34 = 68,577.10 : x
  2. Step 2: Convert to fraction form
    201,732.55/302,511.34 = 68,577.10/x
  3. Step 3: Cross multiply
    201,732.55x = 302,511.34 × 68,577.10
  4. Step 4: Simplify right side
    201,732.55x = 20,745,350,414.31
  5. Step 5: Solve for x
    x = 20,745,350,414.31/201,732.55
  6. Step 6: Final answer
    x = 102,835.91

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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.