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Finding the Fourth Proportional to 313,082.50, 432,053.85 and 178,949.38

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Solution

The fourth proportional to 313,082.50, 432,053.85 and 178,949.38 is: 246,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,082.50 : 432,053.85 = 178,949.38 : x
  2. Step 2: Convert to fraction form
    313,082.50/432,053.85 = 178,949.38/x
  3. Step 3: Cross multiply
    313,082.50x = 432,053.85 × 178,949.38
  4. Step 4: Simplify right side
    313,082.50x = 77,315,768,584.11
  5. Step 5: Solve for x
    x = 77,315,768,584.11/313,082.50
  6. Step 6: Final answer
    x = 246,950.14

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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.