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Finding the Fourth Proportional to 232,874.10, 349,311.15 and 162,015.30

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Solution

The fourth proportional to 232,874.10, 349,311.15 and 162,015.30 is: 243,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,874.10 : 349,311.15 = 162,015.30 : x
  2. Step 2: Convert to fraction form
    232,874.10/349,311.15 = 162,015.30/x
  3. Step 3: Cross multiply
    232,874.10x = 349,311.15 × 162,015.30
  4. Step 4: Simplify right side
    232,874.10x = 56,593,750,760.60
  5. Step 5: Solve for x
    x = 56,593,750,760.60/232,874.10
  6. Step 6: Final answer
    x = 243,022.95

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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.