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Finding the Fourth Proportional to 165,026.84, 227,328.90 and 140,748.44

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Solution

The fourth proportional to 165,026.84, 227,328.90 and 140,748.44 is: 193,884.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,026.84 : 227,328.90 = 140,748.44 : x
  2. Step 2: Convert to fraction form
    165,026.84/227,328.90 = 140,748.44/x
  3. Step 3: Cross multiply
    165,026.84x = 227,328.90 × 140,748.44
  4. Step 4: Simplify right side
    165,026.84x = 31,996,188,041.92
  5. Step 5: Solve for x
    x = 31,996,188,041.92/165,026.84
  6. Step 6: Final answer
    x = 193,884.75

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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.