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Finding the Fourth Proportional to 123,649.17, 185,185.29 and 90,286.47

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Solution

The fourth proportional to 123,649.17, 185,185.29 and 90,286.47 is: 135,219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,649.17 : 185,185.29 = 90,286.47 : x
  2. Step 2: Convert to fraction form
    123,649.17/185,185.29 = 90,286.47/x
  3. Step 3: Cross multiply
    123,649.17x = 185,185.29 × 90,286.47
  4. Step 4: Simplify right side
    123,649.17x = 16,719,726,130.03
  5. Step 5: Solve for x
    x = 16,719,726,130.03/123,649.17
  6. Step 6: Final answer
    x = 135,219.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.