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Finding the Fourth Proportional to 120,025, 165,634.50 and 67,033

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Solution

The fourth proportional to 120,025, 165,634.50 and 67,033 is: 92,505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,025 : 165,634.50 = 67,033 : x
  2. Step 2: Convert to fraction form
    120,025/165,634.50 = 67,033/x
  3. Step 3: Cross multiply
    120,025x = 165,634.50 × 67,033
  4. Step 4: Simplify right side
    120,025x = 11,102,977,438.50
  5. Step 5: Solve for x
    x = 11,102,977,438.50/120,025
  6. Step 6: Final answer
    x = 92,505.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.