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Finding the Fourth Proportional to 165,078.63, 227,811.02 and 89,627.13

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Solution

The fourth proportional to 165,078.63, 227,811.02 and 89,627.13 is: 123,686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,078.63 : 227,811.02 = 89,627.13 : x
  2. Step 2: Convert to fraction form
    165,078.63/227,811.02 = 89,627.13/x
  3. Step 3: Cross multiply
    165,078.63x = 227,811.02 × 89,627.13
  4. Step 4: Simplify right side
    165,078.63x = 20,418,047,456.84
  5. Step 5: Solve for x
    x = 20,418,047,456.84/165,078.63
  6. Step 6: Final answer
    x = 123,686.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.