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Finding the Fourth Proportional to 164,509.68, 227,023.38 and 92,894.34

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Solution

The fourth proportional to 164,509.68, 227,023.38 and 92,894.34 is: 128,194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,509.68 : 227,023.38 = 92,894.34 : x
  2. Step 2: Convert to fraction form
    164,509.68/227,023.38 = 92,894.34/x
  3. Step 3: Cross multiply
    164,509.68x = 227,023.38 × 92,894.34
  4. Step 4: Simplify right side
    164,509.68x = 21,089,187,049.67
  5. Step 5: Solve for x
    x = 21,089,187,049.67/164,509.68
  6. Step 6: Final answer
    x = 128,194.20

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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.