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Finding the Fourth Proportional to 164,596.56, 227,147.40 and 100,969.52

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Solution

The fourth proportional to 164,596.56, 227,147.40 and 100,969.52 is: 139,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,596.56 : 227,147.40 = 100,969.52 : x
  2. Step 2: Convert to fraction form
    164,596.56/227,147.40 = 100,969.52/x
  3. Step 3: Cross multiply
    164,596.56x = 227,147.40 × 100,969.52
  4. Step 4: Simplify right side
    164,596.56x = 22,934,963,947.25
  5. Step 5: Solve for x
    x = 22,934,963,947.25/164,596.56
  6. Step 6: Final answer
    x = 139,340.48

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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.