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Finding the Fourth Proportional to 140,082.39, 193,313.45 and 76,420.20

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Solution

The fourth proportional to 140,082.39, 193,313.45 and 76,420.20 is: 105,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,082.39 : 193,313.45 = 76,420.20 : x
  2. Step 2: Convert to fraction form
    140,082.39/193,313.45 = 76,420.20/x
  3. Step 3: Cross multiply
    140,082.39x = 193,313.45 × 76,420.20
  4. Step 4: Simplify right side
    140,082.39x = 14,773,052,129.59
  5. Step 5: Solve for x
    x = 14,773,052,129.59/140,082.39
  6. Step 6: Final answer
    x = 105,459.74

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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.