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Finding the Fourth Proportional to 357,238.82, 535,905.79 and 188,766.05

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Solution

The fourth proportional to 357,238.82, 535,905.79 and 188,766.05 is: 283,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,238.82 : 535,905.79 = 188,766.05 : x
  2. Step 2: Convert to fraction form
    357,238.82/535,905.79 = 188,766.05/x
  3. Step 3: Cross multiply
    357,238.82x = 535,905.79 × 188,766.05
  4. Step 4: Simplify right side
    357,238.82x = 101,160,815,998.99
  5. Step 5: Solve for x
    x = 101,160,815,998.99/357,238.82
  6. Step 6: Final answer
    x = 283,174.20

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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.