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Finding the Fourth Proportional to 109,992.60, 164,600.10 and 75,000.60

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Solution

The fourth proportional to 109,992.60, 164,600.10 and 75,000.60 is: 112,235.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,992.60 : 164,600.10 = 75,000.60 : x
  2. Step 2: Convert to fraction form
    109,992.60/164,600.10 = 75,000.60/x
  3. Step 3: Cross multiply
    109,992.60x = 164,600.10 × 75,000.60
  4. Step 4: Simplify right side
    109,992.60x = 12,345,106,260.06
  5. Step 5: Solve for x
    x = 12,345,106,260.06/109,992.60
  6. Step 6: Final answer
    x = 112,235.79

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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.