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Finding the Fourth Proportional to 164,721.96, 227,316.60 and 89,270.46

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Solution

The fourth proportional to 164,721.96, 227,316.60 and 89,270.46 is: 123,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,721.96 : 227,316.60 = 89,270.46 : x
  2. Step 2: Convert to fraction form
    164,721.96/227,316.60 = 89,270.46/x
  3. Step 3: Cross multiply
    164,721.96x = 227,316.60 × 89,270.46
  4. Step 4: Simplify right side
    164,721.96x = 20,292,657,447.64
  5. Step 5: Solve for x
    x = 20,292,657,447.64/164,721.96
  6. Step 6: Final answer
    x = 123,193.39

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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.