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Finding the Fourth Proportional to 359,204.02, 538,847.73 and 119,339.33

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Solution

The fourth proportional to 359,204.02, 538,847.73 and 119,339.33 is: 179,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,204.02 : 538,847.73 = 119,339.33 : x
  2. Step 2: Convert to fraction form
    359,204.02/538,847.73 = 119,339.33/x
  3. Step 3: Cross multiply
    359,204.02x = 538,847.73 × 119,339.33
  4. Step 4: Simplify right side
    359,204.02x = 64,305,724,375.98
  5. Step 5: Solve for x
    x = 64,305,724,375.98/359,204.02
  6. Step 6: Final answer
    x = 179,022.84

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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.