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Finding the Fourth Proportional to 164,125.82, 246,090.30 and 75,268

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Solution

The fourth proportional to 164,125.82, 246,090.30 and 75,268 is: 112,856.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,125.82 : 246,090.30 = 75,268 : x
  2. Step 2: Convert to fraction form
    164,125.82/246,090.30 = 75,268/x
  3. Step 3: Cross multiply
    164,125.82x = 246,090.30 × 75,268
  4. Step 4: Simplify right side
    164,125.82x = 18,522,724,700.40
  5. Step 5: Solve for x
    x = 18,522,724,700.40/164,125.82
  6. Step 6: Final answer
    x = 112,856.86

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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.