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Finding the Fourth Proportional to 164,405.24, 226,879.66 and 88,953.72

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Solution

The fourth proportional to 164,405.24, 226,879.66 and 88,953.72 is: 122,756.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,405.24 : 226,879.66 = 88,953.72 : x
  2. Step 2: Convert to fraction form
    164,405.24/226,879.66 = 88,953.72/x
  3. Step 3: Cross multiply
    164,405.24x = 226,879.66 × 88,953.72
  4. Step 4: Simplify right side
    164,405.24x = 20,181,789,749.34
  5. Step 5: Solve for x
    x = 20,181,789,749.34/164,405.24
  6. Step 6: Final answer
    x = 122,756.37

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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.