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Finding the Fourth Proportional to 159,497.10, 219,923.10 and 119,142.90

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Solution

The fourth proportional to 159,497.10, 219,923.10 and 119,142.90 is: 164,280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,497.10 : 219,923.10 = 119,142.90 : x
  2. Step 2: Convert to fraction form
    159,497.10/219,923.10 = 119,142.90/x
  3. Step 3: Cross multiply
    159,497.10x = 219,923.10 × 119,142.90
  4. Step 4: Simplify right side
    159,497.10x = 26,202,275,910.99
  5. Step 5: Solve for x
    x = 26,202,275,910.99/159,497.10
  6. Step 6: Final answer
    x = 164,280.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.