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Finding the Fourth Proportional to 164,564.57, 227,097.81 and 89,113.07

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Solution

The fourth proportional to 164,564.57, 227,097.81 and 89,113.07 is: 122,975.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,564.57 : 227,097.81 = 89,113.07 : x
  2. Step 2: Convert to fraction form
    164,564.57/227,097.81 = 89,113.07/x
  3. Step 3: Cross multiply
    164,564.57x = 227,097.81 × 89,113.07
  4. Step 4: Simplify right side
    164,564.57x = 20,237,383,039.38
  5. Step 5: Solve for x
    x = 20,237,383,039.38/164,564.57
  6. Step 6: Final answer
    x = 122,975.33

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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.