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Finding the Fourth Proportional to 307,756.50, 461,694.60 and 118,203

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Solution

The fourth proportional to 307,756.50, 461,694.60 and 118,203 is: 177,327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,756.50 : 461,694.60 = 118,203 : x
  2. Step 2: Convert to fraction form
    307,756.50/461,694.60 = 118,203/x
  3. Step 3: Cross multiply
    307,756.50x = 461,694.60 × 118,203
  4. Step 4: Simplify right side
    307,756.50x = 54,573,686,803.80
  5. Step 5: Solve for x
    x = 54,573,686,803.80/307,756.50
  6. Step 6: Final answer
    x = 177,327.49

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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.