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Finding the Fourth Proportional to 272,847.19, 409,267.90 and 106,633.75

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Solution

The fourth proportional to 272,847.19, 409,267.90 and 106,633.75 is: 159,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,847.19 : 409,267.90 = 106,633.75 : x
  2. Step 2: Convert to fraction form
    272,847.19/409,267.90 = 106,633.75/x
  3. Step 3: Cross multiply
    272,847.19x = 409,267.90 × 106,633.75
  4. Step 4: Simplify right side
    272,847.19x = 43,641,770,931.63
  5. Step 5: Solve for x
    x = 43,641,770,931.63/272,847.19
  6. Step 6: Final answer
    x = 159,949.50

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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.