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Finding the Fourth Proportional to 263,011.68, 362,949.36 and 143,772

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Solution

The fourth proportional to 263,011.68, 362,949.36 and 143,772 is: 198,401.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,011.68 : 362,949.36 = 143,772 : x
  2. Step 2: Convert to fraction form
    263,011.68/362,949.36 = 143,772/x
  3. Step 3: Cross multiply
    263,011.68x = 362,949.36 × 143,772
  4. Step 4: Simplify right side
    263,011.68x = 52,181,955,385.92
  5. Step 5: Solve for x
    x = 52,181,955,385.92/263,011.68
  6. Step 6: Final answer
    x = 198,401.67

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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.