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Finding the Fourth Proportional to 164,500.06, 246,713.18 and 75,668.26

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Solution

The fourth proportional to 164,500.06, 246,713.18 and 75,668.26 is: 113,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,500.06 : 246,713.18 = 75,668.26 : x
  2. Step 2: Convert to fraction form
    164,500.06/246,713.18 = 75,668.26/x
  3. Step 3: Cross multiply
    164,500.06x = 246,713.18 × 75,668.26
  4. Step 4: Simplify right side
    164,500.06x = 18,668,357,049.67
  5. Step 5: Solve for x
    x = 18,668,357,049.67/164,500.06
  6. Step 6: Final answer
    x = 113,485.41

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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.