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Finding the Fourth Proportional to 146,857.10, 219,957.60 and 120,613.10

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Solution

The fourth proportional to 146,857.10, 219,957.60 and 120,613.10 is: 180,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,857.10 : 219,957.60 = 120,613.10 : x
  2. Step 2: Convert to fraction form
    146,857.10/219,957.60 = 120,613.10/x
  3. Step 3: Cross multiply
    146,857.10x = 219,957.60 × 120,613.10
  4. Step 4: Simplify right side
    146,857.10x = 26,529,768,004.56
  5. Step 5: Solve for x
    x = 26,529,768,004.56/146,857.10
  6. Step 6: Final answer
    x = 180,650.22

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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.