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Finding the Fourth Proportional to 118,161, 177,241.50 and 30,609

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Solution

The fourth proportional to 118,161, 177,241.50 and 30,609 is: 45,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,161 : 177,241.50 = 30,609 : x
  2. Step 2: Convert to fraction form
    118,161/177,241.50 = 30,609/x
  3. Step 3: Cross multiply
    118,161x = 177,241.50 × 30,609
  4. Step 4: Simplify right side
    118,161x = 5,425,185,073.50
  5. Step 5: Solve for x
    x = 5,425,185,073.50/118,161
  6. Step 6: Final answer
    x = 45,913.50

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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.