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Finding the Fourth Proportional to 164,950.44, 227,617.74 and 96,969.60

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Solution

The fourth proportional to 164,950.44, 227,617.74 and 96,969.60 is: 133,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,950.44 : 227,617.74 = 96,969.60 : x
  2. Step 2: Convert to fraction form
    164,950.44/227,617.74 = 96,969.60/x
  3. Step 3: Cross multiply
    164,950.44x = 227,617.74 × 96,969.60
  4. Step 4: Simplify right side
    164,950.44x = 22,072,001,200.70
  5. Step 5: Solve for x
    x = 22,072,001,200.70/164,950.44
  6. Step 6: Final answer
    x = 133,809.90

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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.