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Finding the Fourth Proportional to 165,142.10, 227,378.13 and 145,740.98

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Solution

The fourth proportional to 165,142.10, 227,378.13 and 145,740.98 is: 200,665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,142.10 : 227,378.13 = 145,740.98 : x
  2. Step 2: Convert to fraction form
    165,142.10/227,378.13 = 145,740.98/x
  3. Step 3: Cross multiply
    165,142.10x = 227,378.13 × 145,740.98
  4. Step 4: Simplify right side
    165,142.10x = 33,138,311,496.77
  5. Step 5: Solve for x
    x = 33,138,311,496.77/165,142.10
  6. Step 6: Final answer
    x = 200,665.44

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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.