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Finding the Fourth Proportional to 357,400.20, 535,942.82 and 167,914.42

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Solution

The fourth proportional to 357,400.20, 535,942.82 and 167,914.42 is: 251,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,400.20 : 535,942.82 = 167,914.42 : x
  2. Step 2: Convert to fraction form
    357,400.20/535,942.82 = 167,914.42/x
  3. Step 3: Cross multiply
    357,400.20x = 535,942.82 × 167,914.42
  4. Step 4: Simplify right side
    357,400.20x = 89,992,527,773.46
  5. Step 5: Solve for x
    x = 89,992,527,773.46/357,400.20
  6. Step 6: Final answer
    x = 251,797.64

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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.