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Finding the Fourth Proportional to 109,486.60, 164,181.90 and 50,302.60

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Solution

The fourth proportional to 109,486.60, 164,181.90 and 50,302.60 is: 75,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,486.60 : 164,181.90 = 50,302.60 : x
  2. Step 2: Convert to fraction form
    109,486.60/164,181.90 = 50,302.60/x
  3. Step 3: Cross multiply
    109,486.60x = 164,181.90 × 50,302.60
  4. Step 4: Simplify right side
    109,486.60x = 8,258,776,442.94
  5. Step 5: Solve for x
    x = 8,258,776,442.94/109,486.60
  6. Step 6: Final answer
    x = 75,431.85

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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.