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Finding the Fourth Proportional to 174,213.56, 260,990.66 and 102,923.04

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Solution

The fourth proportional to 174,213.56, 260,990.66 and 102,923.04 is: 154,189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,213.56 : 260,990.66 = 102,923.04 : x
  2. Step 2: Convert to fraction form
    174,213.56/260,990.66 = 102,923.04/x
  3. Step 3: Cross multiply
    174,213.56x = 260,990.66 × 102,923.04
  4. Step 4: Simplify right side
    174,213.56x = 26,861,952,138.81
  5. Step 5: Solve for x
    x = 26,861,952,138.81/174,213.56
  6. Step 6: Final answer
    x = 154,189.79

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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.