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Finding the Fourth Proportional to 140,082.68, 193,287.66 and 83,499.32

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Solution

The fourth proportional to 140,082.68, 193,287.66 and 83,499.32 is: 115,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,082.68 : 193,287.66 = 83,499.32 : x
  2. Step 2: Convert to fraction form
    140,082.68/193,287.66 = 83,499.32/x
  3. Step 3: Cross multiply
    140,082.68x = 193,287.66 × 83,499.32
  4. Step 4: Simplify right side
    140,082.68x = 16,139,388,174.39
  5. Step 5: Solve for x
    x = 16,139,388,174.39/140,082.68
  6. Step 6: Final answer
    x = 115,213.30

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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.