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Finding the Fourth Proportional to 165,090.96, 227,824.65 and 89,639.46

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Solution

The fourth proportional to 165,090.96, 227,824.65 and 89,639.46 is: 123,701.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,090.96 : 227,824.65 = 89,639.46 : x
  2. Step 2: Convert to fraction form
    165,090.96/227,824.65 = 89,639.46/x
  3. Step 3: Cross multiply
    165,090.96x = 227,824.65 × 89,639.46
  4. Step 4: Simplify right side
    165,090.96x = 20,422,078,600.69
  5. Step 5: Solve for x
    x = 20,422,078,600.69/165,090.96
  6. Step 6: Final answer
    x = 123,701.98

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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.