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Finding the Fourth Proportional to 164,617.71, 227,172.35 and 96,634.68

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Solution

The fourth proportional to 164,617.71, 227,172.35 and 96,634.68 is: 133,355.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,617.71 : 227,172.35 = 96,634.68 : x
  2. Step 2: Convert to fraction form
    164,617.71/227,172.35 = 96,634.68/x
  3. Step 3: Cross multiply
    164,617.71x = 227,172.35 × 96,634.68
  4. Step 4: Simplify right side
    164,617.71x = 21,952,727,347.10
  5. Step 5: Solve for x
    x = 21,952,727,347.10/164,617.71
  6. Step 6: Final answer
    x = 133,355.81

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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.