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Finding the Fourth Proportional to 164,507.20, 227,020.02 and 89,055.70

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Solution

The fourth proportional to 164,507.20, 227,020.02 and 89,055.70 is: 122,896.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,507.20 : 227,020.02 = 89,055.70 : x
  2. Step 2: Convert to fraction form
    164,507.20/227,020.02 = 89,055.70/x
  3. Step 3: Cross multiply
    164,507.20x = 227,020.02 × 89,055.70
  4. Step 4: Simplify right side
    164,507.20x = 20,217,427,170.59
  5. Step 5: Solve for x
    x = 20,217,427,170.59/164,507.20
  6. Step 6: Final answer
    x = 122,896.91

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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.