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Finding the Fourth Proportional to 164,041, 226,376.60 and 88,589.50

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Solution

The fourth proportional to 164,041, 226,376.60 and 88,589.50 is: 122,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,041 : 226,376.60 = 88,589.50 : x
  2. Step 2: Convert to fraction form
    164,041/226,376.60 = 88,589.50/x
  3. Step 3: Cross multiply
    164,041x = 226,376.60 × 88,589.50
  4. Step 4: Simplify right side
    164,041x = 20,054,589,805.70
  5. Step 5: Solve for x
    x = 20,054,589,805.70/164,041
  6. Step 6: Final answer
    x = 122,253.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.