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Finding the Fourth Proportional to 193,423.80, 289,982.10 and 105,871.80

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Solution

The fourth proportional to 193,423.80, 289,982.10 and 105,871.80 is: 158,723.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,423.80 : 289,982.10 = 105,871.80 : x
  2. Step 2: Convert to fraction form
    193,423.80/289,982.10 = 105,871.80/x
  3. Step 3: Cross multiply
    193,423.80x = 289,982.10 × 105,871.80
  4. Step 4: Simplify right side
    193,423.80x = 30,700,926,894.78
  5. Step 5: Solve for x
    x = 30,700,926,894.78/193,423.80
  6. Step 6: Final answer
    x = 158,723.63

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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.