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Finding the Fourth Proportional to 205,168.69, 307,122.39 and 174,901.46

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Solution

The fourth proportional to 205,168.69, 307,122.39 and 174,901.46 is: 261,814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,168.69 : 307,122.39 = 174,901.46 : x
  2. Step 2: Convert to fraction form
    205,168.69/307,122.39 = 174,901.46/x
  3. Step 3: Cross multiply
    205,168.69x = 307,122.39 × 174,901.46
  4. Step 4: Simplify right side
    205,168.69x = 53,716,152,874.08
  5. Step 5: Solve for x
    x = 53,716,152,874.08/205,168.69
  6. Step 6: Final answer
    x = 261,814.58

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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.