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Finding the Fourth Proportional to 193,052.57, 289,687.59 and 150,814.15

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Solution

The fourth proportional to 193,052.57, 289,687.59 and 150,814.15 is: 226,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,052.57 : 289,687.59 = 150,814.15 : x
  2. Step 2: Convert to fraction form
    193,052.57/289,687.59 = 150,814.15/x
  3. Step 3: Cross multiply
    193,052.57x = 289,687.59 × 150,814.15
  4. Step 4: Simplify right side
    193,052.57x = 43,688,988,556.67
  5. Step 5: Solve for x
    x = 43,688,988,556.67/193,052.57
  6. Step 6: Final answer
    x = 226,306.18

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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.