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Finding the Fourth Proportional to 231,632.20, 347,253.90 and 120,824.20

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Solution

The fourth proportional to 231,632.20, 347,253.90 and 120,824.20 is: 181,134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,632.20 : 347,253.90 = 120,824.20 : x
  2. Step 2: Convert to fraction form
    231,632.20/347,253.90 = 120,824.20/x
  3. Step 3: Cross multiply
    231,632.20x = 347,253.90 × 120,824.20
  4. Step 4: Simplify right side
    231,632.20x = 41,956,674,664.38
  5. Step 5: Solve for x
    x = 41,956,674,664.38/231,632.20
  6. Step 6: Final answer
    x = 181,134.90

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1.5x scale

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.