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Finding the Fourth Proportional to 165,108, 227,851.88 and 89,656.50

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Solution

The fourth proportional to 165,108, 227,851.88 and 89,656.50 is: 123,727.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,108 : 227,851.88 = 89,656.50 : x
  2. Step 2: Convert to fraction form
    165,108/227,851.88 = 89,656.50/x
  3. Step 3: Cross multiply
    165,108x = 227,851.88 × 89,656.50
  4. Step 4: Simplify right side
    165,108x = 20,428,401,630.94
  5. Step 5: Solve for x
    x = 20,428,401,630.94/165,108
  6. Step 6: Final answer
    x = 123,727.51

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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.