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Finding the Fourth Proportional to 231,652.42, 347,703.33 and 111,793.72

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Solution

The fourth proportional to 231,652.42, 347,703.33 and 111,793.72 is: 167,799.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,652.42 : 347,703.33 = 111,793.72 : x
  2. Step 2: Convert to fraction form
    231,652.42/347,703.33 = 111,793.72/x
  3. Step 3: Cross multiply
    231,652.42x = 347,703.33 × 111,793.72
  4. Step 4: Simplify right side
    231,652.42x = 38,871,048,717.09
  5. Step 5: Solve for x
    x = 38,871,048,717.09/231,652.42
  6. Step 6: Final answer
    x = 167,799.02

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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.