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Finding the Fourth Proportional to 131,046.96, 180,429.96 and 119,074.44

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Solution

The fourth proportional to 131,046.96, 180,429.96 and 119,074.44 is: 163,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,046.96 : 180,429.96 = 119,074.44 : x
  2. Step 2: Convert to fraction form
    131,046.96/180,429.96 = 119,074.44/x
  3. Step 3: Cross multiply
    131,046.96x = 180,429.96 × 119,074.44
  4. Step 4: Simplify right side
    131,046.96x = 21,484,596,446.22
  5. Step 5: Solve for x
    x = 21,484,596,446.22/131,046.96
  6. Step 6: Final answer
    x = 163,945.78

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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.