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Finding the Fourth Proportional to 274,671.81, 411,847.30 and 116,819.01

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Solution

The fourth proportional to 274,671.81, 411,847.30 and 116,819.01 is: 175,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,671.81 : 411,847.30 = 116,819.01 : x
  2. Step 2: Convert to fraction form
    274,671.81/411,847.30 = 116,819.01/x
  3. Step 3: Cross multiply
    274,671.81x = 411,847.30 × 116,819.01
  4. Step 4: Simplify right side
    274,671.81x = 48,111,593,857.17
  5. Step 5: Solve for x
    x = 48,111,593,857.17/274,671.81
  6. Step 6: Final answer
    x = 175,160.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.