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Finding the Fourth Proportional to 186,750.30, 280,082.73 and 53,629.50

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Solution

The fourth proportional to 186,750.30, 280,082.73 and 53,629.50 is: 80,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,750.30 : 280,082.73 = 53,629.50 : x
  2. Step 2: Convert to fraction form
    186,750.30/280,082.73 = 53,629.50/x
  3. Step 3: Cross multiply
    186,750.30x = 280,082.73 × 53,629.50
  4. Step 4: Simplify right side
    186,750.30x = 15,020,696,768.54
  5. Step 5: Solve for x
    x = 15,020,696,768.54/186,750.30
  6. Step 6: Final answer
    x = 80,431.98

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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.