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Finding the Fourth Proportional to 109,082.47, 150,409.69 and 76,806.78

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Solution

The fourth proportional to 109,082.47, 150,409.69 and 76,806.78 is: 105,905.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,082.47 : 150,409.69 = 76,806.78 : x
  2. Step 2: Convert to fraction form
    109,082.47/150,409.69 = 76,806.78/x
  3. Step 3: Cross multiply
    109,082.47x = 150,409.69 × 76,806.78
  4. Step 4: Simplify right side
    109,082.47x = 11,552,483,969.70
  5. Step 5: Solve for x
    x = 11,552,483,969.70/109,082.47
  6. Step 6: Final answer
    x = 105,905.96

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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.