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Finding the Fourth Proportional to 164,744.76, 227,323.98 and 92,147.28

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Solution

The fourth proportional to 164,744.76, 227,323.98 and 92,147.28 is: 127,149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,744.76 : 227,323.98 = 92,147.28 : x
  2. Step 2: Convert to fraction form
    164,744.76/227,323.98 = 92,147.28/x
  3. Step 3: Cross multiply
    164,744.76x = 227,323.98 × 92,147.28
  4. Step 4: Simplify right side
    164,744.76x = 20,947,286,435.77
  5. Step 5: Solve for x
    x = 20,947,286,435.77/164,744.76
  6. Step 6: Final answer
    x = 127,149.94

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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.