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Finding the Fourth Proportional to 164,858.70, 227,505.27 and 89,407.26

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Solution

The fourth proportional to 164,858.70, 227,505.27 and 89,407.26 is: 123,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,858.70 : 227,505.27 = 89,407.26 : x
  2. Step 2: Convert to fraction form
    164,858.70/227,505.27 = 89,407.26/x
  3. Step 3: Cross multiply
    164,858.70x = 227,505.27 × 89,407.26
  4. Step 4: Simplify right side
    164,858.70x = 20,340,622,826.26
  5. Step 5: Solve for x
    x = 20,340,622,826.26/164,858.70
  6. Step 6: Final answer
    x = 123,382.16

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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.