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Finding the Fourth Proportional to 205,057.70, 307,914.60 and 155,194.10

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Solution

The fourth proportional to 205,057.70, 307,914.60 and 155,194.10 is: 233,039.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,057.70 : 307,914.60 = 155,194.10 : x
  2. Step 2: Convert to fraction form
    205,057.70/307,914.60 = 155,194.10/x
  3. Step 3: Cross multiply
    205,057.70x = 307,914.60 × 155,194.10
  4. Step 4: Simplify right side
    205,057.70x = 47,786,529,223.86
  5. Step 5: Solve for x
    x = 47,786,529,223.86/205,057.70
  6. Step 6: Final answer
    x = 233,039.43

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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.