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Finding the Fourth Proportional to 164,120.81, 246,082.80 and 75,263

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Solution

The fourth proportional to 164,120.81, 246,082.80 and 75,263 is: 112,849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,120.81 : 246,082.80 = 75,263 : x
  2. Step 2: Convert to fraction form
    164,120.81/246,082.80 = 75,263/x
  3. Step 3: Cross multiply
    164,120.81x = 246,082.80 × 75,263
  4. Step 4: Simplify right side
    164,120.81x = 18,520,929,776.40
  5. Step 5: Solve for x
    x = 18,520,929,776.40/164,120.81
  6. Step 6: Final answer
    x = 112,849.37

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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.