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Finding the Fourth Proportional to 140,082.74, 193,310.35 and 76,420.52

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Solution

The fourth proportional to 140,082.74, 193,310.35 and 76,420.52 is: 105,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,082.74 : 193,310.35 = 76,420.52 : x
  2. Step 2: Convert to fraction form
    140,082.74/193,310.35 = 76,420.52/x
  3. Step 3: Cross multiply
    140,082.74x = 193,310.35 × 76,420.52
  4. Step 4: Simplify right side
    140,082.74x = 14,772,876,310.78
  5. Step 5: Solve for x
    x = 14,772,876,310.78/140,082.74
  6. Step 6: Final answer
    x = 105,458.22

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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.