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Finding the Fourth Proportional to 164,510.96, 227,029.20 and 92,892.02

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Solution

The fourth proportional to 164,510.96, 227,029.20 and 92,892.02 is: 128,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,510.96 : 227,029.20 = 92,892.02 : x
  2. Step 2: Convert to fraction form
    164,510.96/227,029.20 = 92,892.02/x
  3. Step 3: Cross multiply
    164,510.96x = 227,029.20 × 92,892.02
  4. Step 4: Simplify right side
    164,510.96x = 21,089,200,986.98
  5. Step 5: Solve for x
    x = 21,089,200,986.98/164,510.96
  6. Step 6: Final answer
    x = 128,193.29

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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.