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Finding the Fourth Proportional to 146,874.10, 219,983.10 and 120,630.10

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Solution

The fourth proportional to 146,874.10, 219,983.10 and 120,630.10 is: 180,675.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,874.10 : 219,983.10 = 120,630.10 : x
  2. Step 2: Convert to fraction form
    146,874.10/219,983.10 = 120,630.10/x
  3. Step 3: Cross multiply
    146,874.10x = 219,983.10 × 120,630.10
  4. Step 4: Simplify right side
    146,874.10x = 26,536,583,351.31
  5. Step 5: Solve for x
    x = 26,536,583,351.31/146,874.10
  6. Step 6: Final answer
    x = 180,675.72

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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.