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Finding the Fourth Proportional to 193,376.80, 289,834.80 and 81,056.80

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Solution

The fourth proportional to 193,376.80, 289,834.80 and 81,056.80 is: 121,488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,376.80 : 289,834.80 = 81,056.80 : x
  2. Step 2: Convert to fraction form
    193,376.80/289,834.80 = 81,056.80/x
  3. Step 3: Cross multiply
    193,376.80x = 289,834.80 × 81,056.80
  4. Step 4: Simplify right side
    193,376.80x = 23,493,081,416.64
  5. Step 5: Solve for x
    x = 23,493,081,416.64/193,376.80
  6. Step 6: Final answer
    x = 121,488.62

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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.