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Finding the Fourth Proportional to 395,200.68, 592,912.02 and 158,709.42

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Solution

The fourth proportional to 395,200.68, 592,912.02 and 158,709.42 is: 238,108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,200.68 : 592,912.02 = 158,709.42 : x
  2. Step 2: Convert to fraction form
    395,200.68/592,912.02 = 158,709.42/x
  3. Step 3: Cross multiply
    395,200.68x = 592,912.02 × 158,709.42
  4. Step 4: Simplify right side
    395,200.68x = 94,100,722,805.23
  5. Step 5: Solve for x
    x = 94,100,722,805.23/395,200.68
  6. Step 6: Final answer
    x = 238,108.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.