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Finding the Fourth Proportional to 513,233.37, 769,800.57 and 158,152.05

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Solution

The fourth proportional to 513,233.37, 769,800.57 and 158,152.05 is: 237,212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,233.37 : 769,800.57 = 158,152.05 : x
  2. Step 2: Convert to fraction form
    513,233.37/769,800.57 = 158,152.05/x
  3. Step 3: Cross multiply
    513,233.37x = 769,800.57 × 158,152.05
  4. Step 4: Simplify right side
    513,233.37x = 121,745,538,236.67
  5. Step 5: Solve for x
    x = 121,745,538,236.67/513,233.37
  6. Step 6: Final answer
    x = 237,212.83

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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.