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Finding the Fourth Proportional to 202,792.11, 304,231.01 and 76,429.68

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Solution

The fourth proportional to 202,792.11, 304,231.01 and 76,429.68 is: 114,660.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,792.11 : 304,231.01 = 76,429.68 : x
  2. Step 2: Convert to fraction form
    202,792.11/304,231.01 = 76,429.68/x
  3. Step 3: Cross multiply
    202,792.11x = 304,231.01 × 76,429.68
  4. Step 4: Simplify right side
    202,792.11x = 23,252,278,358.23
  5. Step 5: Solve for x
    x = 23,252,278,358.23/202,792.11
  6. Step 6: Final answer
    x = 114,660.67

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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.