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Finding the Fourth Proportional to 164,034.60, 226,367.74 and 88,583.10

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Solution

The fourth proportional to 164,034.60, 226,367.74 and 88,583.10 is: 122,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,034.60 : 226,367.74 = 88,583.10 : x
  2. Step 2: Convert to fraction form
    164,034.60/226,367.74 = 88,583.10/x
  3. Step 3: Cross multiply
    164,034.60x = 226,367.74 × 88,583.10
  4. Step 4: Simplify right side
    164,034.60x = 20,052,356,149.19
  5. Step 5: Solve for x
    x = 20,052,356,149.19/164,034.60
  6. Step 6: Final answer
    x = 122,244.67

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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.