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Finding the Fourth Proportional to 164,610.04, 227,160.66 and 89,158

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Solution

The fourth proportional to 164,610.04, 227,160.66 and 89,158 is: 123,037.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,610.04 : 227,160.66 = 89,158 : x
  2. Step 2: Convert to fraction form
    164,610.04/227,160.66 = 89,158/x
  3. Step 3: Cross multiply
    164,610.04x = 227,160.66 × 89,158
  4. Step 4: Simplify right side
    164,610.04x = 20,253,190,124.28
  5. Step 5: Solve for x
    x = 20,253,190,124.28/164,610.04
  6. Step 6: Final answer
    x = 123,037.39

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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.