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Finding the Fourth Proportional to 237,624.96, 327,922.38 and 130,199.07

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Solution

The fourth proportional to 237,624.96, 327,922.38 and 130,199.07 is: 179,674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,624.96 : 327,922.38 = 130,199.07 : x
  2. Step 2: Convert to fraction form
    237,624.96/327,922.38 = 130,199.07/x
  3. Step 3: Cross multiply
    237,624.96x = 327,922.38 × 130,199.07
  4. Step 4: Simplify right side
    237,624.96x = 42,695,188,908.19
  5. Step 5: Solve for x
    x = 42,695,188,908.19/237,624.96
  6. Step 6: Final answer
    x = 179,674.68

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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.